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122112011102202 = 232111180152260599
BaseRepresentation
bin11011110000111101101011…
…000010110110011111111010
3121000100210110000021102212100
4123300331223002312133322
5112001140344320232302
61111413252232324230
734502205320304342
oct3360755302663772
9530323400242770
10122112011102202
11359aa45a8a4a40
1211842161543676
13531a161a21734
142222377c4bd22
15e1b631082d1c
hex6f0f6b0b67fa

122112011102202 has 48 divisors (see below), whose sum is σ = 288652853361600. Its totient is φ = 37000503384000.

The previous prime is 122112011102201. The next prime is 122112011102239. The reversal of 122112011102202 is 202201110211221.

122112011102202 is a `hidden beast` number, since 122 + 11 + 201 + 110 + 220 + 2 = 666.

It is a super-2 number, since 2×1221120111022022 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122112011102201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23793702 + ... + 28466897.

It is an arithmetic number, because the mean of its divisors is an integer number (6013601111700).

Almost surely, 2122112011102202 is an apocalyptic number.

122112011102202 is an abundant number, since it is smaller than the sum of its proper divisors (166540842259398).

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

122112011102202 is a wasteful number, since it uses less digits than its factorization.

122112011102202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52272419 (or 52272416 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122112011102202 its reverse (202201110211221), we get a palindrome (324313121313423).

The spelling of 122112011102202 in words is "one hundred twenty-two trillion, one hundred twelve billion, eleven million, one hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 11801 23602 35403 70806 106209 129811 212418 259622 389433 778866 1168299 2336598 52260599 104521198 156781797 313563594 470345391 574866589 940690782 1149733178 1724599767 3449199534 5173799301 10347598602 616727328799 1233454657598 1850181986397 3700363972794 5550545959191 6784000616789 11101091918382 13568001233578 20352001850367 40704003700734 61056005551101 122112011102202