122152400 has 60 divisors (see below), whose sum is σ = 302968704. Its totient is φ = 47280000.

The previous prime is 122152399. The next prime is 122152409. The reversal of 122152400 is 4251221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122152409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7475 + ... + 17325.

Almost surely, 2^122152400 is an apocalyptic number.

122152400 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 122152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151484352).

122152400 is an abundant number, since it is smaller than the sum of its proper divisors (180816304).

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

122152400 is a wasteful number, since it uses less digits than its factorization.

122152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9900 (or 9889 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 122152400 is about 11052.2576879116. The cubic root of 122152400 is about 496.1739980937.

The spelling of 122152400 in words is "one hundred twenty-two million, one hundred fifty-two thousand, four hundred".