122653958400 has 972 divisors, whose sum is σ = 478898015232. Its totient is φ = 31039303680.

The previous prime is 122653958381. The next prime is 122653958407. The reversal of 122653958400 is 4859356221.

122653958400 is a `hidden beast` number, since 1 + 2 + 2 + 65 + 3 + 9 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×122653958400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (122653958407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 965779137 + ... + 965779263.

Almost surely, 2^122653958400 is an apocalyptic number.

122653958400 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 122653958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239449007616).

122653958400 is an abundant number, since it is smaller than the sum of its proper divisors (356244056832).

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

122653958400 is an frugal number, since it uses more digits than its factorization.

122653958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 122653958400 in words is "one hundred twenty-two billion, six hundred fifty-three million, nine hundred fifty-eight thousand, four hundred".