128412979200 has 936 divisors, whose sum is σ = 513367320960. Its totient is φ = 30415257600.

The previous prime is 128412979181. The next prime is 128412979249. The reversal of 128412979200 is 2979214821.

128412979200 is a `hidden beast` number, since 1 + 28 + 412 + 9 + 7 + 9 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 537292681 + ... + 537292919.

It is an arithmetic number, because the mean of its divisors is an integer number (548469360).

Almost surely, 2^128412979200 is an apocalyptic number.

128412979200 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 128412979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256683660480).

128412979200 is an abundant number, since it is smaller than the sum of its proper divisors (384954341760).

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

128412979200 is a wasteful number, since it uses less digits than its factorization.

128412979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 128412979200 in words is "one hundred twenty-eight billion, four hundred twelve million, nine hundred seventy-nine thousand, two hundred".