128615731200 has 624 divisors, whose sum is σ = 515561198400. Its totient is φ = 31172198400.

The previous prime is 128615731169. The next prime is 128615731207. The reversal of 128615731200 is 2137516821.

128615731200 is a `hidden beast` number, since 1 + 2 + 8 + 61 + 573 + 1 + 20 + 0 = 666.

It is a super-2 number, since 2×128615731200² (a number of 23 digits) contains 22 as substring.

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 (128615731207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30410686 + ... + 30414914.

Almost surely, 2^128615731200 is an apocalyptic number.

128615731200 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 128615731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257780599200).

128615731200 is an abundant number, since it is smaller than the sum of its proper divisors (386945467200).

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

128615731200 is a wasteful number, since it uses less digits than its factorization.

128615731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 128615731200 in words is "one hundred twenty-eight billion, six hundred fifteen million, seven hundred thirty-one thousand, two hundred".