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212011120112120 = 23575836912972341
BaseRepresentation
bin110000001101001010101111…
…100000001011000111111000
31000210200001202111011101110022
4300031022233200023013320
5210242042233222041440
62030524321454110012
762441204124612140
oct6015125740130770
91023601674141408
10212011120112120
116160a458203a5a
121b9412131ab308
13913b74173c064
143a4d57041b920
151979d68377cb5
hexc0d2af80b1f8

212011120112120 has 64 divisors (see below), whose sum is σ = 545180833828800. Its totient is φ = 72688275947520.

The previous prime is 212011120112111. The next prime is 212011120112147. The reversal of 212011120112120 is 21211021110212.

It is a super-2 number, since 2×2120111201121202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 9857150 + ... + 22829490.

It is an arithmetic number, because the mean of its divisors is an integer number (8518450528575).

Almost surely, 2212011120112120 is an apocalyptic number.

212011120112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011120112120 is an abundant number, since it is smaller than the sum of its proper divisors (333169713716680).

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

212011120112120 is a wasteful number, since it uses less digits than its factorization.

212011120112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13030728 (or 13030724 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212011120112120 its reverse (21211021110212), we get a palindrome (233222141222332).

The spelling of 212011120112120 in words is "two hundred twelve trillion, eleven billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 58369 116738 233476 291845 408583 466952 583690 817166 1167380 1634332 2042915 2334760 3268664 4085830 8171660 12972341 16343320 25944682 51889364 64861705 90806387 103778728 129723410 181612774 259446820 363225548 454031935 518893640 726451096 908063870 1816127740 3632255480 757182571829 1514365143658 3028730287316 3785912859145 5300278002803 6057460574632 7571825718290 10600556005606 15143651436580 21201112011212 26501390014015 30287302873160 42402224022424 53002780028030 106005560056060 212011120112120