129921062400 has 960 divisors, whose sum is σ = 500598584640. Its totient is φ = 32971161600.

The previous prime is 129921062399. The next prime is 129921062417. The reversal of 129921062400 is 4260129921.

129921062400 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 21 + 0 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 750988714 + ... + 750988886.

It is an arithmetic number, because the mean of its divisors is an integer number (521456859).

Almost surely, 2^129921062400 is an apocalyptic number.

129921062400 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 129921062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250299292320).

129921062400 is an abundant number, since it is smaller than the sum of its proper divisors (370677522240).

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

129921062400 is a wasteful number, since it uses less digits than its factorization.

129921062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 129921062400 in words is "one hundred twenty-nine billion, nine hundred twenty-one million, sixty-two thousand, four hundred".