32011413120 has 96 divisors (see below), whose sum is σ = 110539430820. Its totient is φ = 8536375296.

The previous prime is 32011413097. The next prime is 32011413127. The reversal of 32011413120 is 2131411023.

It can be written as a sum of positive squares in 2 ways, for example, as 31379996736 + 631416384 = 177144^2 + 25128^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32011413093 and 32011413102.

It is not an unprimeable number, because it can be changed into a prime (32011413127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2773009 + ... + 2784528.

Almost surely, 2^32011413120 is an apocalyptic number.

32011413120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32011413120 is an abundant number, since it is smaller than the sum of its proper divisors (78528017700).

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

32011413120 is a wasteful number, since it uses less digits than its factorization.

32011413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5557562 (or 5557547 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32011413120 its reverse (2131411023), we get a palindrome (34142824143).

The spelling of 32011413120 in words is "thirty-two billion, eleven million, four hundred thirteen thousand, one hundred twenty".