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212111010112120 = 23574091852174381
BaseRepresentation
bin110000001110100111110001…
…011010010010001001111000
31000211000121120222211011001221
4300032213301122102021320
5210300211322042041440
62031042241451321424
762451341364606010
oct6016476132221170
91024017528734057
10212111010112120
1161648857538469
121b958650150274
139147ca0516432
143a54328a06c40
15197c762ad4d4a
hexc0e9f1692278

212111010112120 has 64 divisors (see below), whose sum is σ = 546761877566400. Its totient is φ = 72545966115840.

The previous prime is 212111010112063. The next prime is 212111010112159. The reversal of 212111010112120 is 21211010111212.

It is a super-2 number, since 2×2121110101121202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212111010112094 and 212111010112103.

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, 925972671 + ... + 926201710.

It is an arithmetic number, because the mean of its divisors is an integer number (8543154336975).

Almost surely, 2212111010112120 is an apocalyptic number.

212111010112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111010112120 is an abundant number, since it is smaller than the sum of its proper divisors (334650867454280).

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

212111010112120 is a wasteful number, since it uses less digits than its factorization.

212111010112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852174808 (or 1852174804 counting only the distinct ones).

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

Adding to 212111010112120 its reverse (21211010111212), we get a palindrome (233322020223332).

The spelling of 212111010112120 in words is "two hundred twelve trillion, one hundred eleven billion, ten million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 409 818 1636 2045 2863 3272 4090 5726 8180 11452 14315 16360 22904 28630 57260 114520 1852174381 3704348762 7408697524 9260871905 12965220667 14817395048 18521743810 25930441334 37043487620 51860882668 64826103335 74086975240 103721765336 129652206670 259304413340 518608826680 757539321829 1515078643658 3030157287316 3787696609145 5302775252803 6060314574632 7575393218290 10605550505606 15150786436580 21211101011212 26513876264015 30301572873160 42422202022424 53027752528030 106055505056060 212111010112120