123140816251200 has 2016 divisors, whose sum is σ = 497985201192960. Its totient is φ = 28591073280000.

The previous prime is 123140816251139. The next prime is 123140816251253. The reversal of 123140816251200 is 2152618041321.

123140816251200 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 4 + 0 + 8 + 1 + 625 + 1 + 20 + 0 = 666.

It is a super-4 number, since 4×123140816251200⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 372026635035 + ... + 372026635365.

Almost surely, 2^{123140816251200} is an apocalyptic number.

123140816251200 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 123140816251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248992600596480).

123140816251200 is an abundant number, since it is smaller than the sum of its proper divisors (374844384941760).

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

123140816251200 is a wasteful number, since it uses less digits than its factorization.

123140816251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 123140816251200 in words is "one hundred twenty-three trillion, one hundred forty billion, eight hundred sixteen million, two hundred fifty-one thousand, two hundred".