12002442000444 has 144 divisors (see below), whose sum is σ = 34823877903360. Its totient is φ = 3414422712960.

The previous prime is 12002442000421. The next prime is 12002442000463. The reversal of 12002442000444 is 44400024420021.

12002442000444 is a `hidden beast` number, since 12 + 0 + 0 + 2 + 4 + 4 + 200 + 0 + 444 = 666.

It is a super-2 number, since 2×12002442000444² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667497934 + ... + 667515914.

It is an arithmetic number, because the mean of its divisors is an integer number (241832485440).

Almost surely, 2^{12002442000444} is an apocalyptic number.

12002442000444 is a gapful number since it is divisible by the number (14) 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 12002442000444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17411938951680).

12002442000444 is an abundant number, since it is smaller than the sum of its proper divisors (22821435902916).

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

12002442000444 is a wasteful number, since it uses less digits than its factorization.

12002442000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29320 (or 29315 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 12002442000444 its reverse (44400024420021), we get a palindrome (56402466420465).

The spelling of 12002442000444 in words is "twelve trillion, two billion, four hundred forty-two million, four hundred forty-four", and thus it is an aban number.