123013124640 has 576 divisors, whose sum is σ = 489104179200. Its totient is φ = 27574290432.

The previous prime is 123013124627. The next prime is 123013124683. The reversal of 123013124640 is 46421310321.

It is a happy number.

123013124640 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 1 + 3 + 12 + 4 + 640 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142540849 + ... + 142541711.

It is an arithmetic number, because the mean of its divisors is an integer number (849139200).

Almost surely, 2^123013124640 is an apocalyptic number.

123013124640 is a gapful number since it is divisible by the number (10) 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 123013124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244552089600).

123013124640 is an abundant number, since it is smaller than the sum of its proper divisors (366091054560).

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

123013124640 is a wasteful number, since it uses less digits than its factorization.

123013124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 123013124640 its reverse (46421310321), we get a palindrome (169434434961).

The spelling of 123013124640 in words is "one hundred twenty-three billion, thirteen million, one hundred twenty-four thousand, six hundred forty".