120121313000 has 96 divisors (see below), whose sum is σ = 304369355160. Its totient is φ = 44352422400.

The previous prime is 120121312991. The next prime is 120121313051. The reversal of 120121313000 is 313121021.

It can be written as a sum of positive squares in 12 ways, for example, as 13389729796 + 106731583204 = 115714^2 + 326698^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186389 + ... + 524388.

Almost surely, 2^120121313000 is an apocalyptic number.

120121313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121313000 is an abundant number, since it is smaller than the sum of its proper divisors (184248042160).

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

120121313000 is a wasteful number, since it uses less digits than its factorization.

120121313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710824 (or 710797 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 120121313000 its reverse (313121021), we get a palindrome (120434434021).

The spelling of 120121313000 in words is "one hundred twenty billion, one hundred twenty-one million, three hundred thirteen thousand".