12282276240000 has 1600 divisors, whose sum is σ = 49493318693280. Its totient is φ = 3004646400000.

The previous prime is 12282276239957. The next prime is 12282276240037. The reversal of 12282276240000 is 4267228221.

12282276240000 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 2 + 27 + 624 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 17774639655 + ... + 17774640345.

Almost surely, 2^{12282276240000} is an apocalyptic number.

12282276240000 is a gapful number since it is divisible by the number (10) 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 12282276240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24746659346640).

12282276240000 is an abundant number, since it is smaller than the sum of its proper divisors (37211042453280).

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

12282276240000 is an equidigital number, since it uses as much as digits as its factorization.

12282276240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12282276240000 in words is "twelve trillion, two hundred eighty-two billion, two hundred seventy-six million, two hundred forty thousand".