32002120000032 has 192 divisors, whose sum is σ = 103395562712064. Its totient is φ = 8439785026560.

The previous prime is 32002119999953. The next prime is 32002120000061. The reversal of 32002120000032 is 23000002120023.

It is a junction number, because it is equal to n+sod(n) for n = 32002119999966 and 32002120000020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283924807 + ... + 284037497.

It is an arithmetic number, because the mean of its divisors is an integer number (538518555792).

Almost surely, 2^{32002120000032} is an apocalyptic number.

32002120000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32002120000032 is an abundant number, since it is smaller than the sum of its proper divisors (71393442712032).

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

32002120000032 is a wasteful number, since it uses less digits than its factorization.

32002120000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145231 (or 145223 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 32002120000032 its reverse (23000002120023), we get a palindrome (55002122120055).

The spelling of 32002120000032 in words is "thirty-two trillion, two billion, one hundred twenty million, thirty-two", and thus it is an aban number.