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20122122210120 = 2333572661656377
BaseRepresentation
bin1001001001101000010111…
…11100100100101101001000
32122020122201021221120011000
410210310023330210231020
510114140101241210440
6110443550400535000
74144526642463540
oct444641374445510
978218637846130
1020122122210120
116458820450017
12230b976021460
13b2c67b064328
144d7cb7392320
1524d6512de730
hex124d0bf24b48

20122122210120 has 128 divisors (see below), whose sum is σ = 76655703686400. Its totient is φ = 4599342217728.

The previous prime is 20122122210109. The next prime is 20122122210143. The reversal of 20122122210120 is 2101222122102.

It is a happy number.

20122122210120 is a `hidden beast` number, since 201 + 221 + 2 + 221 + 0 + 1 + 20 = 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 = 20122122210093 and 20122122210102.

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, 1330820629 + ... + 1330835748.

It is an arithmetic number, because the mean of its divisors is an integer number (598872685050).

Almost surely, 220122122210120 is an apocalyptic number.

20122122210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122122210120 is an abundant number, since it is smaller than the sum of its proper divisors (56533581476280).

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

20122122210120 is a wasteful number, since it uses less digits than its factorization.

20122122210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661656404 (or 2661656394 counting only the distinct ones).

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

Adding to 20122122210120 its reverse (2101222122102), we get a palindrome (22223344332222).

The spelling of 20122122210120 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 2661656377 5323312754 7984969131 10646625508 13308281885 15969938262 18631594639 21293251016 23954907393 26616563770 31939876524 37263189278 39924845655 47909814786 53233127540 55894783917 63879753048 71864722179 74526378556 79849691310 93157973195 95819629572 106466255080 111789567834 119774536965 143729444358 149052757112 159699382620 167684351751 186315946390 191639259144 223579135668 239549073930 279473919585 287458888716 319398765240 335368703502 359323610895 372631892780 447158271336 479098147860 503053055253 558947839170 574917777432 670737407004 718647221790 745263785560 838421758755 958196295720 1006106110506 1117895678340 1341474814008 1437294443580 1676843517510 2012212221012 2235791356680 2515265276265 2874588887160 3353687035020 4024424442024 5030530552530 6707374070040 10061061105060 20122122210120