32012333013000 has 128 divisors (see below), whose sum is σ = 99907319790720. Its totient is φ = 8534157113600.

The previous prime is 32012333012987. The next prime is 32012333013083. The reversal of 32012333013000 is 31033321023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8862094 + ... + 11939906.

It is an arithmetic number, because the mean of its divisors is an integer number (780525935865).

Almost surely, 2^{32012333013000} is an apocalyptic number.

32012333013000 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 32012333013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49953659895360).

32012333013000 is an abundant number, since it is smaller than the sum of its proper divisors (67894986777720).

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

32012333013000 is a wasteful number, since it uses less digits than its factorization.

32012333013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081304 (or 3081290 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 32012333013000 its reverse (31033321023), we get a palindrome (32043366334023).

The spelling of 32012333013000 in words is "thirty-two trillion, twelve billion, three hundred thirty-three million, thirteen thousand".