12249989676288 has 2160 divisors, whose sum is σ = 48547524748800. Its totient is φ = 3052386312192.

The previous prime is 12249989676149. The next prime is 12249989676361. The reversal of 12249989676288 is 88267698994221.

12249989676288 is a `hidden beast` number, since 1 + 2 + 2 + 499 + 8 + 9 + 67 + 62 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 33378718281 + ... + 33378718647.

Almost surely, 2^{12249989676288} is an apocalyptic number.

12249989676288 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 12249989676288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24273762374400).

12249989676288 is an abundant number, since it is smaller than the sum of its proper divisors (36297535072512).

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

12249989676288 is an equidigital number, since it uses as much as digits as its factorization.

12249989676288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 411 counting only the distinct ones).

The product of its digits is 3009871872, while the sum is 81.

The spelling of 12249989676288 in words is "twelve trillion, two hundred forty-nine billion, nine hundred eighty-nine million, six hundred seventy-six thousand, two hundred eighty-eight".