32113200120320 has 160 divisors (see below), whose sum is σ = 84002319846720. Its totient is φ = 11676661104640.

The previous prime is 32113200120319. The next prime is 32113200120341. The reversal of 32113200120320 is 2302100231123.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32113200120292 and 32113200120301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473870759 + ... + 473938521.

It is an arithmetic number, because the mean of its divisors is an integer number (525014499042).

Almost surely, 2^{32113200120320} 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 32113200120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42001159923360).

32113200120320 is an abundant number, since it is smaller than the sum of its proper divisors (51889119726400).

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

32113200120320 is a wasteful number, since it uses less digits than its factorization.

32113200120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84626 (or 84610 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 32113200120320 its reverse (2302100231123), we get a palindrome (34415300351443).

The spelling of 32113200120320 in words is "thirty-two trillion, one hundred thirteen billion, two hundred million, one hundred twenty thousand, three hundred twenty".