122333023300032 has 392 divisors, whose sum is σ = 370958869535184. Its totient is φ = 39994669817856.

The previous prime is 122333023300009. The next prime is 122333023300043. The reversal of 122333023300032 is 230003320333221.

122333023300032 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 330 + 23 + 300 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122333023299969 and 122333023300005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9379202503 + ... + 9379215545.

Almost surely, 2^{122333023300032} is an apocalyptic number.

122333023300032 is a gapful number since it is divisible by the number (12) 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 122333023300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185479434767592).

122333023300032 is an abundant number, since it is smaller than the sum of its proper divisors (248625846235152).

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

122333023300032 is an equidigital number, since it uses as much as digits as its factorization.

122333023300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16919 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 122333023300032 its reverse (230003320333221), we get a palindrome (352336343633253).

The spelling of 122333023300032 in words is "one hundred twenty-two trillion, three hundred thirty-three billion, twenty-three million, three hundred thousand, thirty-two".