123411434124 has 96 divisors (see below), whose sum is σ = 324558968832. Its totient is φ = 36158976000.

The previous prime is 123411434099. The next prime is 123411434137. The reversal of 123411434124 is 421434114321.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123411434091 and 123411434100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4819884 + ... + 4845420.

It is an arithmetic number, because the mean of its divisors is an integer number (3380822592).

Almost surely, 2^123411434124 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 123411434124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162279484416).

123411434124 is an abundant number, since it is smaller than the sum of its proper divisors (201147534708).

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

123411434124 is a wasteful number, since it uses less digits than its factorization.

123411434124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26767 (or 26765 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 123411434124 its reverse (421434114321), we get a palindrome (544845548445).

The spelling of 123411434124 in words is "one hundred twenty-three billion, four hundred eleven million, four hundred thirty-four thousand, one hundred twenty-four".