120307398120 has 1280 divisors, whose sum is σ = 527253027840. Its totient is φ = 23911759872.

The previous prime is 120307398067. The next prime is 120307398121. The reversal of 120307398120 is 21893703021.

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

It is not an unprimeable number, because it can be changed into a prime (120307398121) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 766289082 + ... + 766289238.

It is an arithmetic number, because the mean of its divisors is an integer number (411916428).

Almost surely, 2^120307398120 is an apocalyptic number.

120307398120 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 120307398120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263626513920).

120307398120 is an abundant number, since it is smaller than the sum of its proper divisors (406945629720).

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

120307398120 is a wasteful number, since it uses less digits than its factorization.

120307398120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 120307398120 in words is "one hundred twenty billion, three hundred seven million, three hundred ninety-eight thousand, one hundred twenty".