12442297824 has 288 divisors, whose sum is σ = 41285147904. Its totient is φ = 3512586240.

The previous prime is 12442297817. The next prime is 12442297831. The reversal of 12442297824 is 42879224421.

It is an interprime number because it is at equal distance from previous prime (12442297817) and next prime (12442297831).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12442297824² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12442297824.

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, 5546047 + ... + 5548289.

It is an arithmetic number, because the mean of its divisors is an integer number (143351208).

Almost surely, 2^12442297824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12442297824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20642573952).

12442297824 is an abundant number, since it is smaller than the sum of its proper divisors (28842850080).

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

12442297824 is a wasteful number, since it uses less digits than its factorization.

12442297824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2379 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 12442297824 in words is "twelve billion, four hundred forty-two million, two hundred ninety-seven thousand, eight hundred twenty-four".