123916669756800 has 768 divisors, whose sum is σ = 441218407238400. Its totient is φ = 30466313256960.

The previous prime is 123916669756793. The next prime is 123916669756879. The reversal of 123916669756800 is 8657966619321.

It is a super-2 number, since 2×123916669756800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2172537882 + ... + 2172594918.

It is an arithmetic number, because the mean of its divisors is an integer number (574503134425).

Almost surely, 2^{123916669756800} is an apocalyptic number.

123916669756800 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 123916669756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220609203619200).

123916669756800 is an abundant number, since it is smaller than the sum of its proper divisors (317301737481600).

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

123916669756800 is a wasteful number, since it uses less digits than its factorization.

123916669756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57403 (or 57386 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 69.

The spelling of 123916669756800 in words is "one hundred twenty-three trillion, nine hundred sixteen billion, six hundred sixty-nine million, seven hundred fifty-six thousand, eight hundred".