123686140750080 has 1152 divisors, whose sum is σ = 429474605414400. Its totient is φ = 30223530196992.

The previous prime is 123686140750049. The next prime is 123686140750121. The reversal of 123686140750080 is 80057041686321.

It is a super-2 number, since 2×123686140750080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 236493576699 + ... + 236493577221.

It is an arithmetic number, because the mean of its divisors is an integer number (372807817200).

Almost surely, 2^{123686140750080} is an apocalyptic number.

123686140750080 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 123686140750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214737302707200).

123686140750080 is an abundant number, since it is smaller than the sum of its proper divisors (305788464664320).

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

123686140750080 is a wasteful number, since it uses less digits than its factorization.

123686140750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 123686140750080 in words is "one hundred twenty-three trillion, six hundred eighty-six billion, one hundred forty million, seven hundred fifty thousand, eighty".