120120313002000 has 320 divisors, whose sum is σ = 398545000558848. Its totient is φ = 31102848000000.

The previous prime is 120120313001999. The next prime is 120120313002047. The reversal of 120120313002000 is 200313021021.

120120313002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108451000 + ... + 109553000.

Almost surely, 2^{120120313002000} is an apocalyptic number.

120120313002000 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 120120313002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199272500279424).

120120313002000 is an abundant number, since it is smaller than the sum of its proper divisors (278424687556848).

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

120120313002000 is a wasteful number, since it uses less digits than its factorization.

120120313002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102555 (or 1102539 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120120313002000 its reverse (200313021021), we get a palindrome (120320626023021).

The spelling of 120120313002000 in words is "one hundred twenty trillion, one hundred twenty billion, three hundred thirteen million, two thousand".