12444834769920 has 2112 divisors, whose sum is σ = 53365741977600. Its totient is φ = 2618588528640.

The previous prime is 12444834769909. The next prime is 12444834769943. The reversal of 12444834769920 is 2996743844421.

12444834769920 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 483 + 4 + 7 + 69 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45921899385 + ... + 45921899655.

Almost surely, 2^{12444834769920} is an apocalyptic number.

12444834769920 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 12444834769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26682870988800).

12444834769920 is an abundant number, since it is smaller than the sum of its proper divisors (40920907207680).

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

12444834769920 is a wasteful number, since it uses less digits than its factorization.

12444834769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 12444834769920 in words is "twelve trillion, four hundred forty-four billion, eight hundred thirty-four million, seven hundred sixty-nine thousand, nine hundred twenty".