122628004992360 has 640 divisors, whose sum is σ = 472598022631680. Its totient is φ = 27937139023872.

The previous prime is 122628004992319. The next prime is 122628004992407. The reversal of 122628004992360 is 63299400826221.

122628004992360 is a `hidden beast` number, since 1 + 2 + 2 + 628 + 0 + 0 + 4 + 9 + 9 + 2 + 3 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122628004992297 and 122628004992306.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8782346739 + ... + 8782360701.

It is an arithmetic number, because the mean of its divisors is an integer number (738434410362).

Almost surely, 2^{122628004992360} is an apocalyptic number.

122628004992360 is a gapful number since it is divisible by the number (10) 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 122628004992360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236299011315840).

122628004992360 is an abundant number, since it is smaller than the sum of its proper divisors (349970017639320).

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

122628004992360 is a wasteful number, since it uses less digits than its factorization.

122628004992360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15239 (or 15226 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 122628004992360 in words is "one hundred twenty-two trillion, six hundred twenty-eight billion, four million, nine hundred ninety-two thousand, three hundred sixty".