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212133310120120 = 23529182873543207
BaseRepresentation
bin110000001110111100100010…
…100110000100000010111000
31000211002202011010012221011011
4300032330202212010002320
5210301043004342320440
62031100410342043304
762453061115546414
oct6016744246040270
91024082133187134
10212133310120120
1161657260293544
121b960a34419534
13914a115569a3c
143a5544255dd44
15197d11a7249ea
hexc0ef229840b8

212133310120120 has 32 divisors (see below), whose sum is σ = 493758566661600. Its totient is φ = 81927347356288.

The previous prime is 212133310119979. The next prime is 212133310120141. The reversal of 212133310120120 is 21021013331212.

It is a junction number, because it is equal to n+sod(n) for n = 212133310120091 and 212133310120100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91436770444 + ... + 91436772763.

It is an arithmetic number, because the mean of its divisors is an integer number (15429955208175).

Almost surely, 2212133310120120 is an apocalyptic number.

212133310120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212133310120120 is an abundant number, since it is smaller than the sum of its proper divisors (281625256541480).

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

212133310120120 is a wasteful number, since it uses less digits than its factorization.

212133310120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182873543247 (or 182873543243 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 212133310120120 its reverse (21021013331212), we get a palindrome (233154323451332).

The spelling of 212133310120120 in words is "two hundred twelve trillion, one hundred thirty-three billion, three hundred ten million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 182873543207 365747086414 731494172828 914367716035 1462988345656 1828735432070 3657470864140 5303332753003 7314941728280 10606665506006 21213331012012 26516663765015 42426662024024 53033327530030 106066655060060 212133310120120