32113232131200 has 384 divisors, whose sum is σ = 115446046694400. Its totient is φ = 7781155737600.

The previous prime is 32113232131181. The next prime is 32113232131213. The reversal of 32113232131200 is 213123231123.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215243829 + ... + 215392971.

It is an arithmetic number, because the mean of its divisors is an integer number (300640746600).

Almost surely, 2^{32113232131200} is an apocalyptic number.

32113232131200 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 32113232131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57723023347200).

32113232131200 is an abundant number, since it is smaller than the sum of its proper divisors (83332814563200).

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

32113232131200 is a wasteful number, since it uses less digits than its factorization.

32113232131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151220 (or 151203 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 32113232131200 its reverse (213123231123), we get a palindrome (32326355362323).

The spelling of 32113232131200 in words is "thirty-two trillion, one hundred thirteen billion, two hundred thirty-two million, one hundred thirty-one thousand, two hundred".