123968704173040 has 40 divisors (see below), whose sum is σ = 290063079506880. Its totient is φ = 49271637831936.

The previous prime is 123968704173001. The next prime is 123968704173079. The reversal of 123968704173040 is 40371407869321.

It is an interprime number because it is at equal distance from previous prime (123968704173001) and next prime (123968704173079).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×123968704173040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4935047320 + ... + 4935072439.

It is an arithmetic number, because the mean of its divisors is an integer number (7251576987672).

Almost surely, 2^{123968704173040} is an apocalyptic number.

123968704173040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123968704173040 is an abundant number, since it is smaller than the sum of its proper divisors (166094375333840).

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

123968704173040 is a wasteful number, since it uses less digits than its factorization.

123968704173040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9870119929 (or 9870119923 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 123968704173040 in words is "one hundred twenty-three trillion, nine hundred sixty-eight billion, seven hundred four million, one hundred seventy-three thousand, forty".