122392800 has 216 divisors, whose sum is σ = 438721920. Its totient is φ = 32102400.

The previous prime is 122392783. The next prime is 122392817. The reversal of 122392800 is 8293221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122392783) and next prime (122392817).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 640705 + ... + 640895.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^122392800 is an apocalyptic number.

122392800 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 122392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

122392800 is an abundant number, since it is smaller than the sum of its proper divisors (316329120).

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

122392800 is a wasteful number, since it uses less digits than its factorization.

122392800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 122392800 is about 11063.1279482794. The cubic root of 122392800 is about 496.4992804607.

The spelling of 122392800 in words is "one hundred twenty-two million, three hundred ninety-two thousand, eight hundred".