123024404114144 has 192 divisors, whose sum is σ = 265304267827200. Its totient is φ = 55811516479488.

The previous prime is 123024404114111. The next prime is 123024404114179. The reversal of 123024404114144 is 441411404420321.

It is a super-2 number, since 2×123024404114144² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33169155362 + ... + 33169159070.

It is an arithmetic number, because the mean of its divisors is an integer number (1381793061600).

Almost surely, 2^{123024404114144} 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 123024404114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132652133913600).

123024404114144 is an abundant number, since it is smaller than the sum of its proper divisors (142279863713056).

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

123024404114144 is a wasteful number, since it uses less digits than its factorization.

123024404114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6065 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 123024404114144 its reverse (441411404420321), we get a palindrome (564435808534465).

The spelling of 123024404114144 in words is "one hundred twenty-three trillion, twenty-four billion, four hundred four million, one hundred fourteen thousand, one hundred forty-four".