32120031220032 has 112 divisors (see below), whose sum is σ = 97356659581440. Its totient is φ = 9155249106432.

The previous prime is 32120031220001. The next prime is 32120031220063. The reversal of 32120031220032 is 23002213002123.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32120031220001) and next prime (32120031220063).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 32120031219990 and 32120031220008.

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, 27955758 + ... + 29082029.

It is an arithmetic number, because the mean of its divisors is an integer number (869255889120).

Almost surely, 2^{32120031220032} is an apocalyptic number.

32120031220032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32120031220032 is an abundant number, since it is smaller than the sum of its proper divisors (65236628361408).

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

32120031220032 is a wasteful number, since it uses less digits than its factorization.

32120031220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57038228 (or 57038218 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 32120031220032 its reverse (23002213002123), we get a palindrome (55122244222155).

The spelling of 32120031220032 in words is "thirty-two trillion, one hundred twenty billion, thirty-one million, two hundred twenty thousand, thirty-two".