122320032 has 96 divisors (see below), whose sum is σ = 342486144. Its totient is φ = 38092800.

The previous prime is 122320027. The next prime is 122320063. The reversal of 122320032 is 230023221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 122319993 and 122320020.

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, 393157 + ... + 393467.

It is an arithmetic number, because the mean of its divisors is an integer number (3567564).

Almost surely, 2^122320032 is an apocalyptic number.

122320032 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 122320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171243072).

122320032 is an abundant number, since it is smaller than the sum of its proper divisors (220166112).

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

122320032 is a wasteful number, since it uses less digits than its factorization.

122320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 122320032 is about 11059.8386968346. The cubic root of 122320032 is about 496.4008639357.

Adding to 122320032 its reverse (230023221), we get a palindrome (352343253).

The spelling of 122320032 in words is "one hundred twenty-two million, three hundred twenty thousand, thirty-two".