122926809600 has 1920 divisors, whose sum is σ = 566267328000. Its totient is φ = 26011238400.

The previous prime is 122926809569. The next prime is 122926809673. The reversal of 122926809600 is 6908629221.

122926809600 is a `hidden beast` number, since 12 + 2 + 9 + 26 + 8 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×122926809600² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2015193570 + ... + 2015193630.

It is an arithmetic number, because the mean of its divisors is an integer number (294930900).

Almost surely, 2^122926809600 is an apocalyptic number.

122926809600 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 122926809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283133664000).

122926809600 is an abundant number, since it is smaller than the sum of its proper divisors (443340518400).

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

122926809600 is an equidigital number, since it uses as much as digits as its factorization.

122926809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 122926809600 in words is "one hundred twenty-two billion, nine hundred twenty-six million, eight hundred nine thousand, six hundred".