12407244208128 has 1152 divisors, whose sum is σ = 47905272979200. Its totient is φ = 3135283200000.

The previous prime is 12407244208127. The next prime is 12407244208153. The reversal of 12407244208128 is 82180244270421.

12407244208128 is a `hidden beast` number, since 1 + 2 + 40 + 72 + 442 + 0 + 81 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12407244208127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1102762503 + ... + 1102773753.

It is an arithmetic number, because the mean of its divisors is an integer number (41584438350).

Almost surely, 2^{12407244208128} is an apocalyptic number.

12407244208128 is a gapful number since it is divisible by the number (18) 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 12407244208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23952636489600).

12407244208128 is an abundant number, since it is smaller than the sum of its proper divisors (35498028771072).

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

12407244208128 is a wasteful number, since it uses less digits than its factorization.

12407244208128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11344 (or 11311 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

Adding to 12407244208128 its reverse (82180244270421), we get a palindrome (94587488478549).

The spelling of 12407244208128 in words is "twelve trillion, four hundred seven billion, two hundred forty-four million, two hundred eight thousand, one hundred twenty-eight".