12992401242144 has 288 divisors, whose sum is σ = 40031393875200. Its totient is φ = 3984775280640.

The previous prime is 12992401242101. The next prime is 12992401242151. The reversal of 12992401242144 is 44124210429921.

12992401242144 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 2 + 401 + 24 + 214 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12992401242144.

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, 51548109 + ... + 51799539.

It is an arithmetic number, because the mean of its divisors is an integer number (138997895400).

Almost surely, 2^{12992401242144} 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 12992401242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20015696937600).

12992401242144 is an abundant number, since it is smaller than the sum of its proper divisors (27038992633056).

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

12992401242144 is a wasteful number, since it uses less digits than its factorization.

12992401242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251768 (or 251757 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12992401242144 in words is "twelve trillion, nine hundred ninety-two billion, four hundred one million, two hundred forty-two thousand, one hundred forty-four".