123742722816000 has 2688 divisors, whose sum is σ = 486102321169920. Its totient is φ = 31388663808000.

The previous prime is 123742722815903. The next prime is 123742722816019. The reversal of 123742722816000 is 618227247321.

123742722816000 is a `hidden beast` number, since 1 + 2 + 37 + 4 + 2 + 7 + 2 + 2 + 8 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×123742722816000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 422330111854 + ... + 422330112146.

It is an arithmetic number, because the mean of its divisors is an integer number (180841637340).

Almost surely, 2^{123742722816000} is an apocalyptic number.

123742722816000 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 123742722816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243051160584960).

123742722816000 is an abundant number, since it is smaller than the sum of its proper divisors (362359598353920).

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

123742722816000 is an frugal number, since it uses more digits than its factorization.

123742722816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 123742722816000 in words is "one hundred twenty-three trillion, seven hundred forty-two billion, seven hundred twenty-two million, eight hundred sixteen thousand".