12272679360 has 420 divisors, whose sum is σ = 45293679288. Its totient is φ = 3154249728.

The previous prime is 12272679283. The next prime is 12272679361. The reversal of 12272679360 is 6397627221.

12272679360 is a `hidden beast` number, since 1 + 2 + 27 + 267 + 9 + 360 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12272679361) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21798439 + ... + 21799001.

Almost surely, 2^12272679360 is an apocalyptic number.

12272679360 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 12272679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22646839644).

12272679360 is an abundant number, since it is smaller than the sum of its proper divisors (33020999928).

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

12272679360 is an equidigital number, since it uses as much as digits as its factorization.

12272679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 12272679360 in words is "twelve billion, two hundred seventy-two million, six hundred seventy-nine thousand, three hundred sixty".