123870317101440 has 1024 divisors, whose sum is σ = 512333608550400. Its totient is φ = 24720802283520.

The previous prime is 123870317101417. The next prime is 123870317101499. The reversal of 123870317101440 is 44101713078321.

It is a super-2 number, since 2×123870317101440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 123870317101392 and 123870317101401.

It is a congruent number.

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, 2134525225 + ... + 2134583255.

It is an arithmetic number, because the mean of its divisors is an integer number (500325789600).

Almost surely, 2^{123870317101440} is an apocalyptic number.

123870317101440 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 123870317101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256166804275200).

123870317101440 is an abundant number, since it is smaller than the sum of its proper divisors (388463291448960).

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

123870317101440 is a wasteful number, since it uses less digits than its factorization.

123870317101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58735 (or 58723 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 123870317101440 in words is "one hundred twenty-three trillion, eight hundred seventy billion, three hundred seventeen million, one hundred one thousand, four hundred forty".