122613958656 has 576 divisors, whose sum is σ = 427331399040. Its totient is φ = 34398535680.

The previous prime is 122613958639. The next prime is 122613958669. The reversal of 122613958656 is 656859316221.

122613958656 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 1 + 3 + 9 + 586 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212502240 + ... + 212502816.

It is an arithmetic number, because the mean of its divisors is an integer number (741894790).

Almost surely, 2^122613958656 is an apocalyptic number.

122613958656 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 122613958656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213665699520).

122613958656 is an abundant number, since it is smaller than the sum of its proper divisors (304717440384).

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

122613958656 is an frugal number, since it uses more digits than its factorization.

122613958656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 650 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 122613958656 in words is "one hundred twenty-two billion, six hundred thirteen million, nine hundred fifty-eight thousand, six hundred fifty-six".