122708319552 has 896 divisors, whose sum is σ = 475104358400. Its totient is φ = 30152466432.

The previous prime is 122708319551. The next prime is 122708319611. The reversal of 122708319552 is 255913807221.

122708319552 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 0 + 83 + 19 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122708319498 and 122708319507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122708319551) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200176398 + ... + 200177010.

It is an arithmetic number, because the mean of its divisors is an integer number (530250400).

Almost surely, 2^122708319552 is an apocalyptic number.

122708319552 is a gapful number since it is divisible by the number (12) 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 122708319552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237552179200).

122708319552 is an abundant number, since it is smaller than the sum of its proper divisors (352396038848).

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

122708319552 is a wasteful number, since it uses less digits than its factorization.

122708319552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 122708319552 in words is "one hundred twenty-two billion, seven hundred eight million, three hundred nineteen thousand, five hundred fifty-two".