12672849211200 has 1512 divisors, whose sum is σ = 48992796502400. Its totient is φ = 3186006220800.

The previous prime is 12672849211177. The next prime is 12672849211237. The reversal of 12672849211200 is 211294827621.

12672849211200 is a `hidden beast` number, since 1 + 26 + 7 + 28 + 492 + 112 + 0 + 0 = 666.

It is a super-2 number, since 2×12672849211200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 160415812761 + ... + 160415812839.

Almost surely, 2^{12672849211200} is an apocalyptic number.

12672849211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12672849211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24496398251200).

12672849211200 is an abundant number, since it is smaller than the sum of its proper divisors (36319947291200).

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

12672849211200 is an equidigital number, since it uses as much as digits as its factorization.

12672849211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12672849211200 in words is "twelve trillion, six hundred seventy-two billion, eight hundred forty-nine million, two hundred eleven thousand, two hundred".