12592240128 has 320 divisors, whose sum is σ = 41144241600. Its totient is φ = 3777822720.

The previous prime is 12592240103. The next prime is 12592240163. The reversal of 12592240128 is 82104229521.

12592240128 is a `hidden beast` number, since 1 + 2 + 592 + 2 + 40 + 1 + 28 = 666.

It is a super-2 number, since 2×12592240128² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12592240092 and 12592240101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7367338 + ... + 7369046.

It is an arithmetic number, because the mean of its divisors is an integer number (128575755).

Almost surely, 2^12592240128 is an apocalyptic number.

12592240128 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 12592240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20572120800).

12592240128 is an abundant number, since it is smaller than the sum of its proper divisors (28552001472).

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

12592240128 is a wasteful number, since it uses less digits than its factorization.

12592240128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 12592240128 its reverse (82104229521), we get a palindrome (94696469649).

The spelling of 12592240128 in words is "twelve billion, five hundred ninety-two million, two hundred forty thousand, one hundred twenty-eight".