122332400 has 60 divisors (see below), whose sum is σ = 306705072. Its totient is φ = 46801920.

The previous prime is 122332373. The next prime is 122332409. The reversal of 122332400 is 4233221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122332409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2552 + ... + 15848.

Almost surely, 2^122332400 is an apocalyptic number.

122332400 is a gapful number since it is divisible by the number (10) 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 122332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153352536).

122332400 is an abundant number, since it is smaller than the sum of its proper divisors (184372672).

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

122332400 is a wasteful number, since it uses less digits than its factorization.

122332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13338 (or 13327 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 122332400 is about 11060.3978228633. The cubic root of 122332400 is about 496.4175940354.

Adding to 122332400 its reverse (4233221), we get a palindrome (126565621).

The spelling of 122332400 in words is "one hundred twenty-two million, three hundred thirty-two thousand, four hundred".