12282797160 has 192 divisors, whose sum is σ = 42643720080. Its totient is φ = 3055288320.

The previous prime is 12282797147. The next prime is 12282797227. The reversal of 12282797160 is 6179728221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2437791876 + 9845005284 = 49374^2 + 99222^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682680 + ... + 700440.

Almost surely, 2^12282797160 is an apocalyptic number.

12282797160 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 12282797160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21321860040).

12282797160 is an abundant number, since it is smaller than the sum of its proper divisors (30360922920).

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

12282797160 is a wasteful number, since it uses less digits than its factorization.

12282797160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17908 (or 17901 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 12282797160 in words is "twelve billion, two hundred eighty-two million, seven hundred ninety-seven thousand, one hundred sixty".