12555972000 has 960 divisors, whose sum is σ = 54341134848. Its totient is φ = 2799360000.

The previous prime is 12555971999. The next prime is 12555972001. The reversal of 12555972000 is 27955521.

12555972000 is a `hidden beast` number, since 12 + 55 + 597 + 2 + 0 + 0 + 0 = 666.

12555972000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12555971999) and next prime (12555972001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12555972001) 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 159 ways as a sum of consecutive naturals, for example, 46331865 + ... + 46332135.

Almost surely, 2^12555972000 is an apocalyptic number.

12555972000 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 12555972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27170567424).

12555972000 is an abundant number, since it is smaller than the sum of its proper divisors (41785162848).

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

12555972000 is a wasteful number, since it uses less digits than its factorization.

12555972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 12555972000 in words is "twelve billion, five hundred fifty-five million, nine hundred seventy-two thousand".