12444105120 has 48 divisors (see below), whose sum is σ = 39198932640. Its totient is φ = 3318427904.

The previous prime is 12444105109. The next prime is 12444105133. The reversal of 12444105120 is 2150144421.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×12444105120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12962130 + ... + 12963089.

It is an arithmetic number, because the mean of its divisors is an integer number (816644430).

Almost surely, 2^12444105120 is an apocalyptic number.

12444105120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444105120 is an abundant number, since it is smaller than the sum of its proper divisors (26754827520).

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

12444105120 is a wasteful number, since it uses less digits than its factorization.

12444105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25925237 (or 25925229 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 12444105120 its reverse (2150144421), we get a palindrome (14594249541).

The spelling of 12444105120 in words is "twelve billion, four hundred forty-four million, one hundred five thousand, one hundred twenty".