32320131012000 has 576 divisors, whose sum is σ = 123558540618240. Its totient is φ = 7953728256000.

The previous prime is 32320131011983. The next prime is 32320131012061. The reversal of 32320131012000 is 21013102323.

32320131012000 is a `hidden beast` number, since 3 + 232 + 0 + 1 + 310 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2906742441 + ... + 2906753559.

It is an arithmetic number, because the mean of its divisors is an integer number (214511355240).

Almost surely, 2^{32320131012000} is an apocalyptic number.

32320131012000 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 32320131012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61779270309120).

32320131012000 is an abundant number, since it is smaller than the sum of its proper divisors (91238409606240).

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

32320131012000 is a wasteful number, since it uses less digits than its factorization.

32320131012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17374 (or 17353 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32320131012000 its reverse (21013102323), we get a palindrome (32341144114323).

The spelling of 32320131012000 in words is "thirty-two trillion, three hundred twenty billion, one hundred thirty-one million, twelve thousand".