120864528400 has 540 divisors, whose sum is σ = 374710905856. Its totient is φ = 36670233600.

The previous prime is 120864528349. The next prime is 120864528403. The reversal of 120864528400 is 4825468021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120864528403) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 951689137 + ... + 951689263.

Almost surely, 2^120864528400 is an apocalyptic number.

120864528400 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 120864528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187355452928).

120864528400 is an abundant number, since it is smaller than the sum of its proper divisors (253846377456).

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

120864528400 is a wasteful number, since it uses less digits than its factorization.

120864528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 120864528400 in words is "one hundred twenty billion, eight hundred sixty-four million, five hundred twenty-eight thousand, four hundred".