32002113120 has 96 divisors (see below), whose sum is σ = 101106296928. Its totient is φ = 8508530688.

The previous prime is 32002113113. The next prime is 32002113139. The reversal of 32002113120 is 2131120023.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×32002113120² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32002113120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62842 + ... + 260678.

It is an arithmetic number, because the mean of its divisors is an integer number (1053190593).

Almost surely, 2^32002113120 is an apocalyptic number.

32002113120 is a gapful number since it is divisible by the number (30) 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 32002113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50553148464).

32002113120 is an abundant number, since it is smaller than the sum of its proper divisors (69104183808).

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

32002113120 is a wasteful number, since it uses less digits than its factorization.

32002113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198192 (or 198184 counting only the distinct ones).

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

Adding to 32002113120 its reverse (2131120023), we get a palindrome (34133233143).

The spelling of 32002113120 in words is "thirty-two billion, two million, one hundred thirteen thousand, one hundred twenty".