32133265917012 has 432 divisors, whose sum is σ = 96151789493760. Its totient is φ = 9012304933632.

The previous prime is 32133265917007. The next prime is 32133265917061. The reversal of 32133265917012 is 21071956233123.

32133265917012 is a `hidden beast` number, since 3 + 2 + 1 + 33 + 26 + 591 + 7 + 0 + 1 + 2 = 666.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 332983833 + ... + 333080319.

Almost surely, 2^{32133265917012} 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 32133265917012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48075894746880).

32133265917012 is an abundant number, since it is smaller than the sum of its proper divisors (64018523576748).

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

32133265917012 is a wasteful number, since it uses less digits than its factorization.

32133265917012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96652 (or 96634 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 32133265917012 in words is "thirty-two trillion, one hundred thirty-three billion, two hundred sixty-five million, nine hundred seventeen thousand, twelve".