122258400 has 216 divisors, whose sum is σ = 438456312. Its totient is φ = 29568000.

The previous prime is 122258399. The next prime is 122258401. The reversal of 122258400 is 4852221.

It is an interprime number because it is at equal distance from previous prime (122258399) and next prime (122258401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122258401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290190 + ... + 290610.

Almost surely, 2^122258400 is an apocalyptic number.

122258400 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 122258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219228156).

122258400 is an abundant number, since it is smaller than the sum of its proper divisors (316197912).

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

122258400 is a wasteful number, since it uses less digits than its factorization.

122258400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 122258400 is about 11057.0520483536. The cubic root of 122258400 is about 496.3174779812.

The spelling of 122258400 in words is "one hundred twenty-two million, two hundred fifty-eight thousand, four hundred".