32120132232000 has 448 divisors, whose sum is σ = 107861980262400. Its totient is φ = 8421096499200.

The previous prime is 32120132231987. The next prime is 32120132232053. The reversal of 32120132232000 is 23223102123.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343561261 + ... + 343654739.

It is an arithmetic number, because the mean of its divisors is an integer number (240763348800).

Almost surely, 2^{32120132232000} is an apocalyptic number.

32120132232000 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 32120132232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53930990131200).

32120132232000 is an abundant number, since it is smaller than the sum of its proper divisors (75741848030400).

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

32120132232000 is a wasteful number, since it uses less digits than its factorization.

32120132232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93751 (or 93731 counting only the distinct ones).

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

Adding to 32120132232000 its reverse (23223102123), we get a palindrome (32143355334123).

The spelling of 32120132232000 in words is "thirty-two trillion, one hundred twenty billion, one hundred thirty-two million, two hundred thirty-two thousand".