122742563328 has 1800 divisors, whose sum is σ = 519858892080. Its totient is φ = 28426567680.

The previous prime is 122742563327. The next prime is 122742563387. The reversal of 122742563328 is 823365247221.

122742563328 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 4 + 2 + 5 + 633 + 2 + 8 = 666.

Its product of digits (967680) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (122742563327) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6460134903 + ... + 6460134921.

Almost surely, 2^122742563328 is an apocalyptic number.

122742563328 is a gapful number since it is divisible by the number (18) 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 122742563328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259929446040).

122742563328 is an abundant number, since it is smaller than the sum of its proper divisors (397116328752).

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

122742563328 is a wasteful number, since it uses less digits than its factorization.

122742563328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 122742563328 in words is "one hundred twenty-two billion, seven hundred forty-two million, five hundred sixty-three thousand, three hundred twenty-eight".