122601616200 has 756 divisors, whose sum is σ = 500977604745. Its totient is φ = 27809308800.

The previous prime is 122601616169. The next prime is 122601616201. The reversal of 122601616200 is 2616106221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122601616200 is a `hidden beast` number, since 1 + 2 + 26 + 0 + 1 + 616 + 20 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120149583876 + 2452032324 = 346626^2 + 49518^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247590.

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

It is not an unprimeable number, because it can be changed into a prime (122601616201) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 935890135 + ... + 935890265.

Almost surely, 2^122601616200 is an apocalyptic number.

122601616200 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 122601616200

122601616200 is an abundant number, since it is smaller than the sum of its proper divisors (378375988545).

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

122601616200 is an equidigital number, since it uses as much as digits as its factorization.

122601616200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 122601616200 in words is "one hundred twenty-two billion, six hundred one million, six hundred sixteen thousand, two hundred".