122513096160 has 1152 divisors, whose sum is σ = 551319035904. Its totient is φ = 24992686080.

The previous prime is 122513096113. The next prime is 122513096219. The reversal of 122513096160 is 61690315221.

122513096160 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 1 + 30 + 9 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109679922 + ... + 109681038.

It is an arithmetic number, because the mean of its divisors is an integer number (478575552).

Almost surely, 2^122513096160 is an apocalyptic number.

122513096160 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 122513096160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275659517952).

122513096160 is an abundant number, since it is smaller than the sum of its proper divisors (428805939744).

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

122513096160 is a wasteful number, since it uses less digits than its factorization.

122513096160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 122513096160 in words is "one hundred twenty-two billion, five hundred thirteen million, ninety-six thousand, one hundred sixty".