123738221187456 has 128 divisors (see below), whose sum is σ = 347557396838400. Its totient is φ = 38942004940800.

The previous prime is 123738221187419. The next prime is 123738221187457. The reversal of 123738221187456 is 654781122837321.

123738221187456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×123738221187456² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123738221187456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123738221187457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126276276 + ... + 127252403.

It is an arithmetic number, because the mean of its divisors is an integer number (2715292162800).

Almost surely, 2^{123738221187456} is an apocalyptic number.

123738221187456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123738221187456 is an abundant number, since it is smaller than the sum of its proper divisors (223819175650944).

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

123738221187456 is a wasteful number, since it uses less digits than its factorization.

123738221187456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253528768 (or 253528756 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 60.

The spelling of 123738221187456 in words is "one hundred twenty-three trillion, seven hundred thirty-eight billion, two hundred twenty-one million, one hundred eighty-seven thousand, four hundred fifty-six".