323121100332000 has 384 divisors, whose sum is σ = 1104737076293760. Its totient is φ = 82458154598400.

The previous prime is 323121100331951. The next prime is 323121100332007. The reversal of 323121100332000 is 233001121323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323121100332007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35215554 + ... + 43432446.

It is an arithmetic number, because the mean of its divisors is an integer number (2876919469515).

Almost surely, 2^{323121100332000} is an apocalyptic number.

323121100332000 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 323121100332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552368538146880).

323121100332000 is an abundant number, since it is smaller than the sum of its proper divisors (781615975961760).

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

323121100332000 is a wasteful number, since it uses less digits than its factorization.

323121100332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8217063 (or 8217045 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 323121100332000 its reverse (233001121323), we get a palindrome (323354101453323).

The spelling of 323121100332000 in words is "three hundred twenty-three trillion, one hundred twenty-one billion, one hundred million, three hundred thirty-two thousand".