122312400 has 120 divisors (see below), whose sum is σ = 447810624. Its totient is φ = 27955200.

The previous prime is 122312387. The next prime is 122312419. The reversal of 122312400 is 4213221.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122312400.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1120 + ... + 15680.

Almost surely, 2^122312400 is an apocalyptic number.

122312400 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 122312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223905312).

122312400 is an abundant number, since it is smaller than the sum of its proper divisors (325498224).

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

122312400 is a wasteful number, since it uses less digits than its factorization.

122312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14589 (or 14578 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 122312400 is about 11059.4936592956. The cubic root of 122312400 is about 496.3905396246.

Adding to 122312400 its reverse (4213221), we get a palindrome (126525621).

The spelling of 122312400 in words is "one hundred twenty-two million, three hundred twelve thousand, four hundred".