122716800 has 144 divisors (see below), whose sum is σ = 437984430. Its totient is φ = 32716800.

The previous prime is 122716787. The next prime is 122716807. The reversal of 122716800 is 8617221.

It can be written as a sum of positive squares in 3 ways, for example, as 116122176 + 6594624 = 10776^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (122716807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26670 + ... + 30930.

Almost surely, 2^122716800 is an apocalyptic number.

122716800 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 122716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218992215).

122716800 is an abundant number, since it is smaller than the sum of its proper divisors (315267630).

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

122716800 is a wasteful number, since it uses less digits than its factorization.

122716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 122716800 is about 11077.7615067305. The cubic root of 122716800 is about 496.9370078066.

The spelling of 122716800 in words is "one hundred twenty-two million, seven hundred sixteen thousand, eight hundred".