120206930080 has 96 divisors (see below), whose sum is σ = 286887258000. Its totient is φ = 47594299392.

The previous prime is 120206930057. The next prime is 120206930083. The reversal of 120206930080 is 80039602021.

It can be written as a sum of positive squares in 8 ways, for example, as 55709216784 + 64497713296 = 236028^2 + 253964^2 .

It is not an unprimeable number, because it can be changed into a prime (120206930083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6976516 + ... + 6993724.

Almost surely, 2^120206930080 is an apocalyptic number.

120206930080 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 120206930080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143443629000).

120206930080 is an abundant number, since it is smaller than the sum of its proper divisors (166680327920).

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

120206930080 is a wasteful number, since it uses less digits than its factorization.

120206930080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17666 (or 17658 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 120206930080 in words is "one hundred twenty billion, two hundred six million, nine hundred thirty thousand, eighty".