122572800 has 468 divisors, whose sum is σ = 528155680. Its totient is φ = 26542080.

The previous prime is 122572711. The next prime is 122572811. The reversal of 122572800 is 8275221.

122572800 is a `hidden beast` number, since 12 + 2 + 572 + 80 + 0 = 666.

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 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, 6451191 + ... + 6451209.

Almost surely, 2^122572800 is an apocalyptic number.

122572800 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 122572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264077840).

122572800 is an abundant number, since it is smaller than the sum of its proper divisors (405582880).

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

122572800 is a wasteful number, since it uses less digits than its factorization.

122572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 122572800 is about 11071.2600908840. The cubic root of 122572800 is about 496.7425575568.

The spelling of 122572800 in words is "one hundred twenty-two million, five hundred seventy-two thousand, eight hundred".