12488236992 has 448 divisors, whose sum is σ = 48473441280. Its totient is φ = 3052339200.

The previous prime is 12488236991. The next prime is 12488237023. The reversal of 12488236992 is 29963288421.

12488236992 is a `hidden beast` number, since 12 + 488 + 2 + 3 + 69 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12488236991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2259192 + ... + 2264712.

Almost surely, 2^12488236992 is an apocalyptic number.

12488236992 is a gapful number since it is divisible by the number (12) 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 12488236992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24236720640).

12488236992 is an abundant number, since it is smaller than the sum of its proper divisors (35985204288).

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

12488236992 is a wasteful number, since it uses less digits than its factorization.

12488236992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577 (or 5561 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 12488236992 in words is "twelve billion, four hundred eighty-eight million, two hundred thirty-six thousand, nine hundred ninety-two".