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212100222110120 = 23541771361393253
BaseRepresentation
bin110000001110011101101110…
…011001010100100110101000
31000210222120202011021212102022
4300032131232121110212220
5210300022223330010440
62031033255155124012
762450510141241101
oct6016355631244650
91023876664255368
10212100222110120
1161644220a37933
121b95653b2a3608
139146c714b71b6
143a539c3d5d3a8
15197c33096ecb5
hexc0e76e6549a8

212100222110120 has 64 divisors (see below), whose sum is σ = 477379934655120. Its totient is φ = 84812637302784.

The previous prime is 212100222110069. The next prime is 212100222110213. The reversal of 212100222110120 is 21011222001212.

It can be written as a sum of positive squares in 8 ways, for example, as 119448855298756 + 92651366811364 = 10929266^2 + 9625558^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2274413414 + ... + 2274506666.

Almost surely, 2212100222110120 is an apocalyptic number.

212100222110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100222110120 is an abundant number, since it is smaller than the sum of its proper divisors (265279712545000).

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

212100222110120 is a wasteful number, since it uses less digits than its factorization.

212100222110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111054 (or 111050 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212100222110120 its reverse (21011222001212), we get a palindrome (233111444111332).

The spelling of 212100222110120 in words is "two hundred twelve trillion, one hundred billion, two hundred twenty-two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 4177 8354 13613 16708 20885 27226 33416 41770 54452 68065 83540 93253 108904 136130 167080 186506 272260 373012 466265 544520 746024 932530 1865060 3730120 56861501 113723002 227446004 284307505 389517781 454892008 568615010 779035562 1137230020 1269453089 1558071124 1947588905 2274460040 2538906178 3116142248 3895177810 5077812356 6347265445 7790355620 10155624712 12694530890 15580711240 25389061780 50778123560 5302505552753 10605011105506 21210022211012 26512527763765 42420044422024 53025055527530 106050111055060 212100222110120