332013122200320 has 288 divisors, whose sum is σ = 1156806935182080. Its totient is φ = 80485035294720.

The previous prime is 332013122200307. The next prime is 332013122200363. The reversal of 332013122200320 is 23002221310233.

It is a super-2 number, since 2×332013122200320² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1264830046 + ... + 1265092514.

It is an arithmetic number, because the mean of its divisors is an integer number (4016690747160).

Almost surely, 2^{332013122200320} is an apocalyptic number.

332013122200320 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 332013122200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578403467591040).

332013122200320 is an abundant number, since it is smaller than the sum of its proper divisors (824793812981760).

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

332013122200320 is a wasteful number, since it uses less digits than its factorization.

332013122200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292451 (or 292437 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 332013122200320 its reverse (23002221310233), we get a palindrome (355015343510553).

The spelling of 332013122200320 in words is "three hundred thirty-two trillion, thirteen billion, one hundred twenty-two million, two hundred thousand, three hundred twenty".