120761902080 has 528 divisors, whose sum is σ = 449031885120. Its totient is φ = 31083429888.

The previous prime is 120761902057. The next prime is 120761902103. The reversal of 120761902080 is 80209167021.

120761902080 is a `hidden beast` number, since 12 + 0 + 7 + 619 + 0 + 20 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120761902057) and next prime (120761902103).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36078967 + ... + 36082313.

Almost surely, 2^120761902080 is an apocalyptic number.

120761902080 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 120761902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224515942560).

120761902080 is an abundant number, since it is smaller than the sum of its proper divisors (328269983040).

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

120761902080 is an equidigital number, since it uses as much as digits as its factorization.

120761902080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 120761902080 in words is "one hundred twenty billion, seven hundred sixty-one million, nine hundred two thousand, eighty".