128951222400 has 2880 divisors, whose sum is σ = 659483415360. Its totient is φ = 24385536000.

The previous prime is 128951222359. The next prime is 128951222419. The reversal of 128951222400 is 4222159821.

128951222400 is a `hidden beast` number, since 1 + 2 + 89 + 512 + 22 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 359 ways as a sum of consecutive naturals, for example, 1816214365 + ... + 1816214435.

It is an arithmetic number, because the mean of its divisors is an integer number (228987297).

Almost surely, 2^128951222400 is an apocalyptic number.

128951222400 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 128951222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329741707680).

128951222400 is an abundant number, since it is smaller than the sum of its proper divisors (530532192960).

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

128951222400 is a wasteful number, since it uses less digits than its factorization.

128951222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 128951222400 in words is "one hundred twenty-eight billion, nine hundred fifty-one million, two hundred twenty-two thousand, four hundred".