123306322374144 has 1920 divisors, whose sum is σ = 490168983427200. Its totient is φ = 30604377194496.

The previous prime is 123306322374089. The next prime is 123306322374167. The reversal of 123306322374144 is 441473223603321.

123306322374144 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 0 + 6 + 3 + 223 + 7 + 414 + 4 = 666.

It is a super-3 number, since 3×123306322374144³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123306322374144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12125702692 + ... + 12125712860.

It is an arithmetic number, because the mean of its divisors is an integer number (255296345535).

Almost surely, 2^{123306322374144} is an apocalyptic number.

123306322374144 is a gapful number since it is divisible by the number (14) 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 123306322374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245084491713600).

123306322374144 is an abundant number, since it is smaller than the sum of its proper divisors (366862661053056).

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

123306322374144 is an equidigital number, since it uses as much as digits as its factorization.

123306322374144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10252 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

Adding to 123306322374144 its reverse (441473223603321), we get a palindrome (564779545977465).

The spelling of 123306322374144 in words is "one hundred twenty-three trillion, three hundred six billion, three hundred twenty-two million, three hundred seventy-four thousand, one hundred forty-four".