122859991296 has 1152 divisors, whose sum is σ = 463402598400. Its totient is φ = 31729065984.

The previous prime is 122859991193. The next prime is 122859991301. The reversal of 122859991296 is 692199958221.

122859991296 is a `hidden beast` number, since 1 + 2 + 28 + 599 + 9 + 12 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×122859991296² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2614042345 + ... + 2614042391.

It is an arithmetic number, because the mean of its divisors is an integer number (402259200).

Almost surely, 2^122859991296 is an apocalyptic number.

122859991296 is a gapful number since it is divisible by the number (16) 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 122859991296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231701299200).

122859991296 is an abundant number, since it is smaller than the sum of its proper divisors (340542607104).

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

122859991296 is an frugal number, since it uses more digits than its factorization.

122859991296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 111 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 63.

The spelling of 122859991296 in words is "one hundred twenty-two billion, eight hundred fifty-nine million, nine hundred ninety-one thousand, two hundred ninety-six".