122860800 has 324 divisors, whose sum is σ = 461289920. Its totient is φ = 32348160.

The previous prime is 122860763. The next prime is 122860807. The reversal of 122860800 is 8068221.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122860807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1555161 + ... + 1555239.

Almost surely, 2^122860800 is an apocalyptic number.

122860800 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 122860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230644960).

122860800 is an abundant number, since it is smaller than the sum of its proper divisors (338429120).

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

122860800 is an frugal number, since it uses more digits than its factorization.

122860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 122860800 is about 11084.2591092053. The cubic root of 122860800 is about 497.1313059997.

The spelling of 122860800 in words is "one hundred twenty-two million, eight hundred sixty thousand, eight hundred".