122188800 has 264 divisors, whose sum is σ = 424400416. Its totient is φ = 30965760.

The previous prime is 122188789. The next prime is 122188817. The reversal of 122188800 is 8881221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2841579 + ... + 2841621.

Almost surely, 2^122188800 is an apocalyptic number.

122188800 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 122188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212200208).

122188800 is an abundant number, since it is smaller than the sum of its proper divisors (302211616).

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

122188800 is a wasteful number, since it uses less digits than its factorization.

122188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 122188800 is about 11053.9042876262. The cubic root of 122188800 is about 496.2232779000.

It can be divided in two parts, 12 and 2188800, that added together give a palindrome (2188812).

The spelling of 122188800 in words is "one hundred twenty-two million, one hundred eighty-eight thousand, eight hundred".