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211200112212 = 22317600009351
BaseRepresentation
bin1100010010110010000…
…0011111011001010100
3202012010220021100002020
43010230200133121110
511430014212042322
6241005103213140
721154510222245
oct3045440373124
9665126240066
10211200112212
1181629a59291
1234b225a71b0
1316bba83cbcb
14a3177a2ccc
15576189105c
hex312c81f654

211200112212 has 12 divisors (see below), whose sum is σ = 492800261856. Its totient is φ = 70400037400.

The previous prime is 211200112199. The next prime is 211200112219. The reversal of 211200112212 is 212211002112.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×2112001122122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211200112191 and 211200112200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200112219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8800004664 + ... + 8800004687.

It is an arithmetic number, because the mean of its divisors is an integer number (41066688488).

Almost surely, 2211200112212 is an apocalyptic number.

It is an amenable number.

211200112212 is an abundant number, since it is smaller than the sum of its proper divisors (281600149644).

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

211200112212 is a wasteful number, since it uses less digits than its factorization.

211200112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17600009358 (or 17600009356 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211200112212 its reverse (212211002112), we get a palindrome (423411114324).

The spelling of 211200112212 in words is "two hundred eleven billion, two hundred million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17600009351 35200018702 52800028053 70400037404 105600056106 211200112212