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212112122012010 = 232511619346130321
BaseRepresentation
bin110000001110101000110011…
…101011110110000101101010
31000211000201110111001111222100
4300032220303223312011222
5210300221111213341020
62031042544051234230
762451411055603443
oct6016506353660552
91024021414044870
10212112122012010
11616492781402a0
121b9589005a8976
1391481199a266c
143a543d25622ca
15197c7ca51ba90
hexc0ea33af616a

212112122012010 has 96 divisors (see below), whose sum is σ = 602599045389120. Its totient is φ = 51338049062400.

The previous prime is 212112122012009. The next prime is 212112122012101. The reversal of 212112122012010 is 10210221211212.

212112122012010 is a `hidden beast` number, since 2 + 121 + 121 + 220 + 1 + 201 + 0 = 666.

212112122012010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172452351 + ... + 173677970.

It is an arithmetic number, because the mean of its divisors is an integer number (6277073389470).

Almost surely, 2212112122012010 is an apocalyptic number.

212112122012010 is an abundant number, since it is smaller than the sum of its proper divisors (390486923377110).

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

212112122012010 is a wasteful number, since it uses less digits than its factorization.

212112122012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346130964 (or 346130961 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212112122012010 its reverse (10210221211212), we get a palindrome (222322343223222).

The spelling of 212112122012010 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-two million, twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 619 990 1238 1857 3095 3714 5571 6190 6809 9285 11142 13618 18570 20427 27855 34045 40854 55710 61281 68090 102135 122562 204270 306405 612810 346130321 692260642 1038390963 1730651605 2076781926 3115172889 3461303210 3807433531 5191954815 6230345778 7614867062 10383909630 11422300593 15575864445 19037167655 22844601186 31151728890 34266901779 38074335310 57111502965 68533803558 114223005930 171334508895 214254668699 342669017790 428509337398 642764006097 1071273343495 1285528012194 1928292018291 2142546686990 2356801355689 3213820030485 3856584036582 4713602711378 6427640060970 7070404067067 9641460091455 11784006778445 14140808134134 19282920182910 21211212201201 23568013556890 35352020335335 42422424402402 70704040670670 106056061006005 212112122012010