12123944640 has 168 divisors, whose sum is σ = 42132199200. Its totient is φ = 3199647744.

The previous prime is 12123944627. The next prime is 12123944663. The reversal of 12123944640 is 4644932121.

12123944640 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 3 + 9 + 4 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12123944595 and 12123944604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257661 + ... + 301059.

It is an arithmetic number, because the mean of its divisors is an integer number (250786900).

Almost surely, 2^12123944640 is an apocalyptic number.

12123944640 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 12123944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21066099600).

12123944640 is an abundant number, since it is smaller than the sum of its proper divisors (30008254560).

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

12123944640 is a wasteful number, since it uses less digits than its factorization.

12123944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43519 (or 43506 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12123944640 in words is "twelve billion, one hundred twenty-three million, nine hundred forty-four thousand, six hundred forty".