3200013000120 has 128 divisors (see below), whose sum is σ = 9625479301440. Its totient is φ = 851078430720.

The previous prime is 3200013000103. The next prime is 3200013000133. The reversal of 3200013000120 is 210003100023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3200013000096 and 3200013000105.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 70803930 + ... + 70849110.

Almost surely, 2^{3200013000120} is an apocalyptic number.

3200013000120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3200013000120 is an abundant number, since it is smaller than the sum of its proper divisors (6425466301320).

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

3200013000120 is a wasteful number, since it uses less digits than its factorization.

3200013000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46745 (or 46741 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 3200013000120 its reverse (210003100023), we get a palindrome (3410016100143).

The spelling of 3200013000120 in words is "three trillion, two hundred billion, thirteen million, one hundred twenty", and thus it is an aban number.