122988523415616 has 672 divisors, whose sum is σ = 385204689848160. Its totient is φ = 37360631808000.

The previous prime is 122988523415567. The next prime is 122988523415651. The reversal of 122988523415616 is 616514325889221.

122988523415616 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 8 + 8 + 5 + 2 + 3 + 4 + 1 + 5 + 616 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 17854343193600 + 105134180222016 = 4225440^2 + 10253496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89057583246 + ... + 89057584626.

It is an arithmetic number, because the mean of its divisors is an integer number (573221264655).

Almost surely, 2^{122988523415616} is an apocalyptic number.

122988523415616 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 122988523415616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192602344924080).

122988523415616 is an abundant number, since it is smaller than the sum of its proper divisors (262216166432544).

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

122988523415616 is a wasteful number, since it uses less digits than its factorization.

122988523415616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2450 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 122988523415616 in words is "one hundred twenty-two trillion, nine hundred eighty-eight billion, five hundred twenty-three million, four hundred fifteen thousand, six hundred sixteen".