120456890760 has 128 divisors (see below), whose sum is σ = 377836462080. Its totient is φ = 30663798528.

The previous prime is 120456890711. The next prime is 120456890773. The reversal of 120456890760 is 67098654021.

It is a Cunningham number, because it is equal to 347069²-1.

It is a super-4 number, since 4×120456890760⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1344897 + ... + 1431663.

It is an arithmetic number, because the mean of its divisors is an integer number (2951847360).

Almost surely, 2^120456890760 is an apocalyptic number.

120456890760 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 120456890760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188918231040).

120456890760 is an abundant number, since it is smaller than the sum of its proper divisors (257379571320).

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

120456890760 is a wasteful number, since it uses less digits than its factorization.

120456890760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87307 (or 87303 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 120456890760 in words is "one hundred twenty billion, four hundred fifty-six million, eight hundred ninety thousand, seven hundred sixty".