12444020120 has 128 divisors (see below), whose sum is σ = 32572108800. Its totient is φ = 4190784000.

The previous prime is 12444020107. The next prime is 12444020203. The reversal of 12444020120 is 2102044421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12444020092 and 12444020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3703001 + ... + 3706359.

It is an arithmetic number, because the mean of its divisors is an integer number (254469600).

Almost surely, 2^12444020120 is an apocalyptic number.

12444020120 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 12444020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286054400).

12444020120 is an abundant number, since it is smaller than the sum of its proper divisors (20128088680).

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

12444020120 is a wasteful number, since it uses less digits than its factorization.

12444020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12444020120 its reverse (2102044421), we get a palindrome (14546064541).

The spelling of 12444020120 in words is "twelve billion, four hundred forty-four million, twenty thousand, one hundred twenty".