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122092908788356 = 22112421211932
BaseRepresentation
bin11011110000101011111000…
…011101010011101010000100
3121000021222010201220100111221
4123300223320131103222010
5112000332234122211411
61111400412531410124
734500631045311262
oct3360537035235204
9530258121810457
10122092908788356
11359a2348067900
121183a510153944
13531840931024c
142221484c7d432
15e1adb4038071
hex6f0af8753a84

122092908788356 has 81 divisors (see below), whose sum is σ = 235608930356079. Its totient is φ = 55318547222400.

The previous prime is 122092908788353. The next prime is 122092908788419. The reversal of 122092908788356 is 653887809290221.

The square root of 122092908788356 is 11049566.

It is a perfect power (a square), and thus also a powerful number.

122092908788356 is digitally balanced in base 3, 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 51010877996100 + 71082030792256 = 7142190^2 + 8431016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122092908788353) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102341079696 + ... + 102341080888.

Almost surely, 2122092908788356 is an apocalyptic number.

122092908788356 is the 11049566-th square number.

It is an amenable number.

122092908788356 is a deficient number, since it is larger than the sum of its proper divisors (113516021567723).

122092908788356 is an frugal number, since it uses more digits than its factorization.

122092908788356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 70.

The spelling of 122092908788356 in words is "one hundred twenty-two trillion, ninety-two billion, nine hundred eight million, seven hundred eighty-eight thousand, three hundred fifty-six".

Divisors: 1 2 4 11 22 44 121 242 421 484 842 1193 1684 2386 4631 4772 9262 13123 18524 26246 50941 52492 101882 144353 177241 203764 288706 354482 502253 577412 708964 1004506 1423249 1949651 2009012 2846498 3899302 5524783 5692996 7798604 11049566 15655739 21446161 22099132 31311478 42892322 60772613 62622956 85784644 121545226 172213129 211448513 243090452 344426258 422897026 599187829 688852516 845794052 1198375658 2325933643 2396751316 4651867286 6591066119 9303734572 13182132238 25585270073 26364264476 51170540146 72501727309 102341080292 145003454618 252258076009 290006909236 504516152018 1009032304036 2774838836099 5549677672198 11099355344396 30523227197089 61046454394178 122092908788356