120400007680 has 120 divisors (see below), whose sum is σ = 293078733948. Its totient is φ = 47436668928.

The previous prime is 120400007669. The next prime is 120400007699. The reversal of 120400007680 is 86700004021.

It can be written as a sum of positive squares in 2 ways, for example, as 119893217536 + 506790144 = 346256^2 + 22512^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11486602 + ... + 11497078.

Almost surely, 2^120400007680 is an apocalyptic number.

120400007680 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 120400007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146539366974).

120400007680 is an abundant number, since it is smaller than the sum of its proper divisors (172678726268).

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

120400007680 is an frugal number, since it uses more digits than its factorization.

120400007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634 (or 10551 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 120400007680 in words is "one hundred twenty billion, four hundred million, seven thousand, six hundred eighty".