122096885760 has 896 divisors, whose sum is σ = 464281113600. Its totient is φ = 30767579136.

The previous prime is 122096885759. The next prime is 122096885857. The reversal of 122096885760 is 67588690221.

122096885760 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 9 + 68 + 8 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 122096885697 and 122096885706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2597806057 + ... + 2597806103.

Almost surely, 2^122096885760 is an apocalyptic number.

122096885760 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 122096885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232140556800).

122096885760 is an abundant number, since it is smaller than the sum of its proper divisors (342184227840).

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

122096885760 is an frugal number, since it uses more digits than its factorization.

122096885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 122096885760 in words is "one hundred twenty-two billion, ninety-six million, eight hundred eighty-five thousand, seven hundred sixty".