12591961200 has 1620 divisors, whose sum is σ = 61212201960. Its totient is φ = 2368880640.

The previous prime is 12591961177. The next prime is 12591961229. The reversal of 12591961200 is 216919521.

12591961200 is a `hidden beast` number, since 1 + 2 + 591 + 9 + 61 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 662734791 + ... + 662734809.

Almost surely, 2^12591961200 is an apocalyptic number.

12591961200 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 12591961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30606100980).

12591961200 is an abundant number, since it is smaller than the sum of its proper divisors (48620240760).

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

12591961200 is a wasteful number, since it uses less digits than its factorization.

12591961200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 12591961200 in words is "twelve billion, five hundred ninety-one million, nine hundred sixty-one thousand, two hundred".