12555198251200 has 672 divisors, whose sum is σ = 36907393775616. Its totient is φ = 4150272000000.

The previous prime is 12555198251093. The next prime is 12555198251209. The reversal of 12555198251200 is 215289155521.

It is not an unprimeable number, because it can be changed into a prime (12555198251209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6501914235 + ... + 6501916165.

It is an arithmetic number, because the mean of its divisors is an integer number (54921716928).

Almost surely, 2^{12555198251200} is an apocalyptic number.

12555198251200 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 12555198251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18453696887808).

12555198251200 is an abundant number, since it is smaller than the sum of its proper divisors (24352195524416).

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

12555198251200 is a wasteful number, since it uses less digits than its factorization.

12555198251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 46.

The spelling of 12555198251200 in words is "twelve trillion, five hundred fifty-five billion, one hundred ninety-eight million, two hundred fifty-one thousand, two hundred".