122332032 has 256 divisors, whose sum is σ = 401472000. Its totient is φ = 36951552.

The previous prime is 122332019. The next prime is 122332043. The reversal of 122332032 is 230233221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122331996 and 122332014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5318773 + ... + 5318795.

It is an arithmetic number, because the mean of its divisors is an integer number (1568250).

Almost surely, 2^122332032 is an apocalyptic number.

122332032 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 122332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200736000).

122332032 is an abundant number, since it is smaller than the sum of its proper divisors (279139968).

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

122332032 is an frugal number, since it uses more digits than its factorization.

122332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 122332032 is about 11060.3811869212. The cubic root of 122332032 is about 496.4170962609.

Adding to 122332032 its reverse (230233221), we get a palindrome (352565253).

The spelling of 122332032 in words is "one hundred twenty-two million, three hundred thirty-two thousand, thirty-two".