123513540024 has 128 divisors (see below), whose sum is σ = 359564981760. Its totient is φ = 34626797568.

The previous prime is 123513540019. The next prime is 123513540053. The reversal of 123513540024 is 420045315321.

It is a junction number, because it is equal to n+sod(n) for n = 123513539973 and 123513540000.

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, 2871444 + ... + 2914140.

It is an arithmetic number, because the mean of its divisors is an integer number (2809101420).

Almost surely, 2^123513540024 is an apocalyptic number.

123513540024 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 123513540024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179782490880).

123513540024 is an abundant number, since it is smaller than the sum of its proper divisors (236051441736).

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

123513540024 is a wasteful number, since it uses less digits than its factorization.

123513540024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43037 (or 43033 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 123513540024 its reverse (420045315321), we get a palindrome (543558855345).

The spelling of 123513540024 in words is "one hundred twenty-three billion, five hundred thirteen million, five hundred forty thousand, twenty-four".