122751103104 has 256 divisors, whose sum is σ = 424143417600. Its totient is φ = 34216058880.

The previous prime is 122751103067. The next prime is 122751103117. The reversal of 122751103104 is 401301157221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929994 + ... + 1053750.

It is an arithmetic number, because the mean of its divisors is an integer number (1656810225).

Almost surely, 2^122751103104 is an apocalyptic number.

122751103104 is a gapful number since it is divisible by the number (14) 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 122751103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212071708800).

122751103104 is an abundant number, since it is smaller than the sum of its proper divisors (301392314496).

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

122751103104 is a wasteful number, since it uses less digits than its factorization.

122751103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123828 (or 123810 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 122751103104 in words is "one hundred twenty-two billion, seven hundred fifty-one million, one hundred three thousand, one hundred four".