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212231131200 = 263252111339843
BaseRepresentation
bin1100010110100111110…
…1100001000001000000
3202021210202022112020200
43011221331201001000
511434122132144300
6241255253405200
721222166564434
oct3055175410100
9667722275220
10212231131200
1182008a390a0
123516b939800
131702331ab0a
14a3b46a69c4
1557c214d200
hex3169f61040

212231131200 has 252 divisors, whose sum is σ = 822894669168. Its totient is φ = 51449932800.

The previous prime is 212231131181. The next prime is 212231131237. The reversal of 212231131200 is 2131132212.

212231131200 is a `hidden beast` number, since 2 + 122 + 311 + 31 + 200 = 666.

It is a super-2 number, since 2×2122311312002 (a number of 23 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 511522 + ... + 828321.

Almost surely, 2212231131200 is an apocalyptic number.

212231131200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212231131200 is an abundant number, since it is smaller than the sum of its proper divisors (610663537968).

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

212231131200 is a wasteful number, since it uses less digits than its factorization.

212231131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339882 (or 1339864 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212231131200 its reverse (2131132212), we get a palindrome (214362263412).

The spelling of 212231131200 in words is "two hundred twelve billion, two hundred thirty-one million, one hundred thirty-one thousand, two hundred".