12444136920 has 192 divisors, whose sum is σ = 42054798240. Its totient is φ = 3309465600.

The previous prime is 12444136879. The next prime is 12444136927. The reversal of 12444136920 is 2963144421.

12444136920 is a `hidden beast` number, since 124 + 441 + 3 + 6 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444136927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4090600 + ... + 4093640.

Almost surely, 2^12444136920 is an apocalyptic number.

12444136920 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 12444136920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21027399120).

12444136920 is an abundant number, since it is smaller than the sum of its proper divisors (29610661320).

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

12444136920 is a wasteful number, since it uses less digits than its factorization.

12444136920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3472 counting only the distinct ones).

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

The spelling of 12444136920 in words is "twelve billion, four hundred forty-four million, one hundred thirty-six thousand, nine hundred twenty".