12272336496 has 120 divisors (see below), whose sum is σ = 39339364064. Its totient is φ = 3498577920.

The previous prime is 12272336491. The next prime is 12272336497. The reversal of 12272336496 is 69463327221.

12272336496 is a `hidden beast` number, since 1 + 2 + 272 + 336 + 49 + 6 = 666.

It is a super-2 number, since 2×12272336496² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12272336491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447336 + ... + 473976.

Almost surely, 2^12272336496 is an apocalyptic number.

12272336496 is a gapful number since it is divisible by the number (16) 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 12272336496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669682032).

12272336496 is an abundant number, since it is smaller than the sum of its proper divisors (27067027568).

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

12272336496 is a wasteful number, since it uses less digits than its factorization.

12272336496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27119 (or 27110 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 12272336496 in words is "twelve billion, two hundred seventy-two million, three hundred thirty-six thousand, four hundred ninety-six".