123243542100224 has 288 divisors, whose sum is σ = 309673378022400. Its totient is φ = 48642370560000.

The previous prime is 123243542100167. The next prime is 123243542100241. The reversal of 123243542100224 is 422001245342321.

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, 491862974 + ... + 492113474.

It is an arithmetic number, because the mean of its divisors is an integer number (1075254784800).

Almost surely, 2^{123243542100224} is an apocalyptic number.

123243542100224 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 123243542100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154836689011200).

123243542100224 is an abundant number, since it is smaller than the sum of its proper divisors (186429835922176).

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

123243542100224 is an equidigital number, since it uses as much as digits as its factorization.

123243542100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250982 (or 250954 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 123243542100224 its reverse (422001245342321), we get a palindrome (545244787442545).

The spelling of 123243542100224 in words is "one hundred twenty-three trillion, two hundred forty-three billion, five hundred forty-two million, one hundred thousand, two hundred twenty-four".