32323120113200 has 480 divisors, whose sum is σ = 93102585338880. Its totient is φ = 10543996108800.

The previous prime is 32323120113173. The next prime is 32323120113217. The reversal of 32323120113200 is 231102132323.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 13373238392 + ... + 13373240808.

It is an arithmetic number, because the mean of its divisors is an integer number (193963719456).

Almost surely, 2^{32323120113200} 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 32323120113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46551292669440).

32323120113200 is an abundant number, since it is smaller than the sum of its proper divisors (60779465225680).

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

32323120113200 is a wasteful number, since it uses less digits than its factorization.

32323120113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 32323120113200 its reverse (231102132323), we get a palindrome (32554222245523).

The spelling of 32323120113200 in words is "thirty-two trillion, three hundred twenty-three billion, one hundred twenty million, one hundred thirteen thousand, two hundred".