120720398400 has 756 divisors, whose sum is σ = 515314874880. Its totient is φ = 26698291200.

The previous prime is 120720398399. The next prime is 120720398423. The reversal of 120720398400 is 4893027021.

120720398400 is a `hidden beast` number, since 1 + 207 + 20 + 398 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 21870841 + ... + 21876359.

Almost surely, 2^120720398400 is an apocalyptic number.

120720398400 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 120720398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257657437440).

120720398400 is an abundant number, since it is smaller than the sum of its proper divisors (394594476480).

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

120720398400 is a wasteful number, since it uses less digits than its factorization.

120720398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 120720398400 in words is "one hundred twenty billion, seven hundred twenty million, three hundred ninety-eight thousand, four hundred".