12284991360 has 512 divisors, whose sum is σ = 45045158400. Its totient is φ = 3202467840.

The previous prime is 12284991349. The next prime is 12284991371. The reversal of 12284991360 is 6319948221.

12284991360 is a `hidden beast` number, since 1 + 2 + 28 + 499 + 136 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12284991349) and next prime (12284991371).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93778495 + ... + 93778625.

It is an arithmetic number, because the mean of its divisors is an integer number (87978825).

Almost surely, 2^12284991360 is an apocalyptic number.

12284991360 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 12284991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522579200).

12284991360 is an abundant number, since it is smaller than the sum of its proper divisors (32760167040).

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

12284991360 is an frugal number, since it uses more digits than its factorization.

12284991360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12284991360 in words is "twelve billion, two hundred eighty-four million, nine hundred ninety-one thousand, three hundred sixty".