122962400 has 144 divisors (see below), whose sum is σ = 333259920. Its totient is φ = 43929600.

The previous prime is 122962379. The next prime is 122962409. The reversal of 122962400 is 4269221.

It is a self number, because there is not a number n which added to its sum of digits gives 122962400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122962409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 783122 + ... + 783278.

It is an arithmetic number, because the mean of its divisors is an integer number (2314305).

Almost surely, 2^122962400 is an apocalyptic number.

122962400 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 122962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166629960).

122962400 is an abundant number, since it is smaller than the sum of its proper divisors (210297520).

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

122962400 is a wasteful number, since it uses less digits than its factorization.

122962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 122962400 is about 11088.8412379292. The cubic root of 122962400 is about 497.2683028404.

The spelling of 122962400 in words is "one hundred twenty-two million, nine hundred sixty-two thousand, four hundred".