123166993850304 has 448 divisors, whose sum is σ = 361442135900160. Its totient is φ = 36841221652480.

The previous prime is 123166993850293. The next prime is 123166993850377. The reversal of 123166993850304 is 403058399661321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2476838689 + ... + 2476888415.

It is an arithmetic number, because the mean of its divisors is an integer number (806790481920).

Almost surely, 2^{123166993850304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123166993850304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180721067950080).

123166993850304 is an abundant number, since it is smaller than the sum of its proper divisors (238275142049856).

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

123166993850304 is a wasteful number, since it uses less digits than its factorization.

123166993850304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50116 (or 50106 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 123166993850304 in words is "one hundred twenty-three trillion, one hundred sixty-six billion, nine hundred ninety-three million, eight hundred fifty thousand, three hundred four".