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20012121221220 = 2233563158731353
BaseRepresentation
bin1001000110011011011110…
…11000000110100001100100
32121212010210010200100021000
410203031233120012201210
510110334311013034340
6110321235213553300
74133554006504152
oct443155730064144
977763703610230
1020012121221220
116416102794a37
1222b2596aa5830
13b2219a5ac29b
144d283ddd23d2
1524a86409dd30
hex12336f606864

20012121221220 has 96 divisors (see below), whose sum is σ = 62358602423040. Its totient is φ = 5328108253440.

The previous prime is 20012121221179. The next prime is 20012121221227. The reversal of 20012121221220 is 2212212121002.

It is a happy number.

20012121221220 is a `hidden beast` number, since 200 + 1 + 2 + 1 + 21 + 221 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20012121221193 and 20012121221202.

It is not an unprimeable number, because it can be changed into a prime (20012121221227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29024937 + ... + 29706416.

It is an arithmetic number, because the mean of its divisors is an integer number (649568775240).

Almost surely, 220012121221220 is an apocalyptic number.

20012121221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012121221220 is an abundant number, since it is smaller than the sum of its proper divisors (42346481201820).

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

20012121221220 is a wasteful number, since it uses less digits than its factorization.

20012121221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58732002 (or 58731994 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20012121221220 its reverse (2212212121002), we get a palindrome (22224333342222).

The spelling of 20012121221220 in words is "twenty trillion, twelve billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 631 1262 1893 2524 3155 3786 5679 6310 7572 9465 11358 12620 17037 18930 22716 28395 34074 37860 56790 68148 85185 113580 170370 340740 58731353 117462706 176194059 234925412 293656765 352388118 528582177 587313530 704776236 880970295 1057164354 1174627060 1585746531 1761940590 2114328708 2642910885 3171493062 3523881180 5285821770 6342986124 7928732655 10571643540 15857465310 31714930620 37059483743 74118967486 111178451229 148237934972 185297418715 222356902458 333535353687 370594837430 444713804916 555892256145 667070707374 741189674860 1000606061061 1111784512290 1334141414748 1667676768435 2001212122122 2223569024580 3335353536870 4002424244244 5003030305305 6670707073740 10006060610610 20012121221220