122374800 has 180 divisors, whose sum is σ = 440753040. Its totient is φ = 32607360.

The previous prime is 122374783. The next prime is 122374831. The reversal of 122374800 is 8473221.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 96571 + ... + 97829.

It is an arithmetic number, because the mean of its divisors is an integer number (2448628).

Almost surely, 2^122374800 is an apocalyptic number.

122374800 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 122374800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220376520).

122374800 is an abundant number, since it is smaller than the sum of its proper divisors (318378240).

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

122374800 is a wasteful number, since it uses less digits than its factorization.

122374800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 122374800 is about 11062.3144052228. The cubic root of 122374800 is about 496.4749396356.

The spelling of 122374800 in words is "one hundred twenty-two million, three hundred seventy-four thousand, eight hundred".