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212101012210120 = 23511837757544199
BaseRepresentation
bin110000001110011110011101…
…011111010100000111001000
31000210222122210020000002212021
4300032132131133110013020
5210300030333111210440
62031033505421454224
762450535544052455
oct6016363537240710
91023878706002767
10212101012210120
1161644596a26740
121b95671ba11374
1391470690b1ba7
143a53a5ac6c82c
15197c379edd84a
hexc0e79d7d41c8

212101012210120 has 64 divisors (see below), whose sum is σ = 520673732208000. Its totient is φ = 77118432391680.

The previous prime is 212101012210111. The next prime is 212101012210193. The reversal of 212101012210120 is 21012210101212.

212101012210120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212101012210094 and 212101012210103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25086220 + ... + 32457979.

It is an arithmetic number, because the mean of its divisors is an integer number (8135527065750).

Almost surely, 2212101012210120 is an apocalyptic number.

212101012210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101012210120 is an abundant number, since it is smaller than the sum of its proper divisors (308572719997880).

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

212101012210120 is a wasteful number, since it uses less digits than its factorization.

212101012210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57552598 (or 57552594 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212101012210120 its reverse (21012210101212), we get a palindrome (233113222311332).

The spelling of 212101012210120 in words is "two hundred twelve trillion, one hundred one billion, twelve million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 8377 16754 33508 41885 67016 83770 92147 167540 184294 335080 368588 460735 737176 921470 1842940 3685880 57544199 115088398 230176796 287720995 460353592 575441990 632986189 1150883980 1265972378 2301767960 2531944756 3164930945 5063889512 6329861890 12659723780 25319447560 482047755023 964095510046 1928191020092 2410238775115 3856382040184 4820477550230 5302525305253 9640955100460 10605050610506 19281910200920 21210101221012 26512626526265 42420202442024 53025253052530 106050506105060 212101012210120