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12222010121940 = 22325216173141049
BaseRepresentation
bin1011000111011010100010…
…0100100101111011010100
31121021102010220021211110100
42301312220210211323110
53100221134042400230
641554414113254100
72401003542633153
oct261665044457324
947242126254410
1012222010121940
1139923640a5423
12145485a564330
136a86b8995c48
14303796d1759a
15162dc8822660
hexb1da8925ed4

12222010121940 has 72 divisors (see below), whose sum is σ = 37075157519400. Its totient is φ = 3259050891264.

The previous prime is 12222010121939. The next prime is 12222010122019. The reversal of 12222010121940 is 4912101022221.

12222010121940 is a `hidden beast` number, since 122 + 220 + 101 + 219 + 4 + 0 = 666.

12222010121940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 305678505924 + 11916331616016 = 552882^2 + 3452004^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320536 + ... + 5461584.

It is an arithmetic number, because the mean of its divisors is an integer number (514932743325).

Almost surely, 212222010121940 is an apocalyptic number.

12222010121940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222010121940 is an abundant number, since it is smaller than the sum of its proper divisors (24853147397460).

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

12222010121940 is a wasteful number, since it uses less digits than its factorization.

12222010121940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162681 (or 3162676 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12222010121940 in words is "twelve trillion, two hundred twenty-two billion, ten million, one hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 21617 43234 64851 86468 108085 129702 194553 216170 259404 324255 389106 432340 648510 778212 972765 1297020 1945530 3141049 3891060 6282098 9423147 12564196 15705245 18846294 28269441 31410490 37692588 47115735 56538882 62820980 94231470 113077764 141347205 188462940 282694410 565388820 67900056233 135800112466 203700168699 271600224932 339500281165 407400337398 611100506097 679000562330 814800674796 1018500843495 1222201012194 1358001124660 2037001686990 2444402024388 3055502530485 4074003373980 6111005060970 12222010121940