32112013120 has 112 divisors (see below), whose sum is σ = 84992675328. Its totient is φ = 11456706560.

The previous prime is 32112013117. The next prime is 32112013123. The reversal of 32112013120 is 2131021123.

It is an interprime number because it is at equal distance from previous prime (32112013117) and next prime (32112013123).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 32112013094 and 32112013103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32112013123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100497 + ... + 272623.

Almost surely, 2^32112013120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32112013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42496337664).

32112013120 is an abundant number, since it is smaller than the sum of its proper divisors (52880662208).

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

32112013120 is a wasteful number, since it uses less digits than its factorization.

32112013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172208 (or 172198 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 32112013120 its reverse (2131021123), we get a palindrome (34243034243).

The spelling of 32112013120 in words is "thirty-two billion, one hundred twelve million, thirteen thousand, one hundred twenty".