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2112200122120 = 23511191226920593
BaseRepresentation
bin11110101111001000111…
…100000001111100001000
321110220221212011121111121
4132233020330001330020
5234101241212401440
64254155323005024
7305413200543514
oct36571074017410
97426855147447
102112200122120
117448629a4240
122a1437669774
1312424480638a
1474333d43144
1539e2331834a
hex1ebc8f01f08

2112200122120 has 128 divisors (see below), whose sum is σ = 5458069008000. Its totient is φ = 727553249280.

The previous prime is 2112200122117. The next prime is 2112200122147. The reversal of 2112200122120 is 212210022112.

It is a happy number.

It is a super-2 number, since 2×21122001221202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112200122094 and 2112200122103.

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, 102558544 + ... + 102579136.

It is an arithmetic number, because the mean of its divisors is an integer number (42641164125).

Almost surely, 22112200122120 is an apocalyptic number.

2112200122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112200122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729034504000).

2112200122120 is an abundant number, since it is smaller than the sum of its proper divisors (3345868885880).

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

2112200122120 is a wasteful number, since it uses less digits than its factorization.

2112200122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32903 (or 32899 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2112200122120 its reverse (212210022112), we get a palindrome (2324410144232).

The spelling of 2112200122120 in words is "two trillion, one hundred twelve billion, two hundred million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 12269 20593 24538 41186 49076 61345 82372 98152 102965 122690 134959 164744 205930 226523 233111 245380 269918 391267 411860 453046 466222 490760 539836 674795 782534 823720 906092 932444 1079672 1132615 1165555 1349590 1565068 1812184 1864888 1956335 2265230 2331110 2564221 2699180 3130136 3912670 4303937 4530460 4662220 5128442 5398360 7825340 8607874 9060920 9324440 10256884 12821105 15650680 17215748 20513768 21519685 25642210 34431496 43039370 51284420 86078740 102568840 172157480 252655517 505311034 1010622068 1263277585 2021244136 2526555170 2779210687 4800454823 5053110340 5558421374 9600909646 10106220680 11116842748 13896053435 19201819292 22233685496 24002274115 27792106870 38403638584 48004548230 52805003053 55584213740 96009096460 105610006106 111168427480 192018192920 211220012212 264025015265 422440024424 528050030530 1056100061060 2112200122120