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20012121111120 = 2435711796561007
BaseRepresentation
bin1001000110011011011110…
…10111101011101001010000
32121212010210010110202020020
410203031233113223221100
510110334311001023440
6110321235211343440
74133554005535155
oct443155727535120
977763703422206
1020012121111120
11641610271a246
1222b2596a51b80
13b2219a571138
144d283dda422c
1524a86407b3d0
hex12336f5eba50

20012121111120 has 160 divisors (see below), whose sum is σ = 63262813777920. Its totient is φ = 5232008624640.

The previous prime is 20012121111109. The next prime is 20012121111161. The reversal of 20012121111120 is 2111112121002.

It is a happy number.

It is a super-2 number, since 2×200121211111202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20012121111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230344 + ... + 6330663.

It is an arithmetic number, because the mean of its divisors is an integer number (395392586112).

Almost surely, 220012121111120 is an apocalyptic number.

20012121111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012121111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31631406888960).

20012121111120 is an abundant number, since it is smaller than the sum of its proper divisors (43250692666800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20012121111120 is a wasteful number, since it uses less digits than its factorization.

20012121111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6561273 (or 6561267 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 20012121111120 its reverse (2111112121002), we get a palindrome (22123233232122).

The spelling of 20012121111120 in words is "twenty trillion, twelve billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 179 213 240 284 355 358 426 537 568 710 716 852 895 1065 1074 1136 1420 1432 1704 1790 2130 2148 2685 2840 2864 3408 3580 4260 4296 5370 5680 7160 8520 8592 10740 12709 14320 17040 21480 25418 38127 42960 50836 63545 76254 101672 127090 152508 190635 203344 254180 305016 381270 508360 610032 762540 1016720 1525080 3050160 6561007 13122014 19683021 26244028 32805035 39366042 52488056 65610070 78732084 98415105 104976112 131220140 157464168 196830210 262440280 314928336 393660420 465831497 524880560 787320840 931662994 1174420253 1397494491 1574641680 1863325988 2329157485 2348840506 2794988982 3523260759 3726651976 4658314970 4697681012 5589977964 5872101265 6987472455 7046521518 7453303952 9316629940 9395362024 11179955928 11744202530 13974944910 14093043036 17616303795 18633259880 18790724048 22359911856 23488405060 27949889820 28186086072 35232607590 37266519760 46976810120 55899779640 56372172144 70465215180 83383837963 93953620240 111799559280 140930430360 166767675926 250151513889 281860860720 333535351852 416919189815 500303027778 667070703704 833838379630 1000606055556 1250757569445 1334141407408 1667676759260 2001212111112 2501515138890 3335353518520 4002424222224 5003030277780 6670707037040 10006060555560 20012121111120