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20122111130112 = 293233712957797
BaseRepresentation
bin1001001001101000010110…
…10010010011101000000000
32122020122200112002122020100
410210310023102103220000
510114140040422130422
6110443545323242400
74144526446345365
oct444641322235000
978218615078210
1020122111130112
116458815172492
12230b972379400
13b2c678985004
144d7cb5b0a46c
1524d6503517ac
hex124d0b493a00

20122111130112 has 120 divisors (see below), whose sum is σ = 58246105393476. Its totient is φ = 6687466684416.

The previous prime is 20122111130111. The next prime is 20122111130117. The reversal of 20122111130112 is 21103111122102.

It is a happy number.

20122111130112 is a `hidden beast` number, since 20 + 1 + 221 + 111 + 301 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15928527995136 + 4193583134976 = 3991056^2 + 2047824^2 .

It is a super-3 number, since 3×201221111301123 (a number of 41 digits) contains 333 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 (20122111130111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4926003 + ... + 8031794.

Almost surely, 220122111130112 is an apocalyptic number.

It is an amenable number.

20122111130112 is an abundant number, since it is smaller than the sum of its proper divisors (38123994263364).

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

20122111130112 is a wasteful number, since it uses less digits than its factorization.

20122111130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12958158 (or 12958139 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 20122111130112 its reverse (21103111122102), we get a palindrome (41225222252214).

The spelling of 20122111130112 in words is "twenty trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 337 384 512 576 674 768 1011 1152 1348 1536 2022 2304 2696 3033 4044 4608 5392 6066 8088 10784 12132 16176 21568 24264 32352 43136 48528 64704 86272 97056 129408 172544 194112 258816 388224 517632 776448 1552896 12957797 25915594 38873391 51831188 77746782 103662376 116620173 155493564 207324752 233240346 310987128 414649504 466480692 621974256 829299008 932961384 1243948512 1658598016 1865922768 2487897024 3317196032 3731845536 4366777589 4975794048 6634392064 7463691072 8733555178 9951588096 13100332767 14927382144 17467110356 19903176192 26200665534 29854764288 34934220712 39300998301 52401331068 59709528576 69868441424 78601996602 104802662136 139736882848 157203993204 209605324272 279473765696 314407986408 419210648544 558947531392 628815972816 838421297088 1117895062784 1257631945632 1676842594176 2235790125568 2515263891264 3353685188352 5030527782528 6707370376704 10061055565056 20122111130112