13226308272 has 120 divisors (see below), whose sum is σ = 39512828160. Its totient is φ = 4117841280.

The previous prime is 13226308259. The next prime is 13226308273. The reversal of 13226308272 is 27280362231.

13226308272 is a `hidden beast` number, since 1 + 322 + 6 + 308 + 27 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13226308273) 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, 160213 + ... + 228299.

It is an arithmetic number, because the mean of its divisors is an integer number (329273568).

Almost surely, 2^13226308272 is an apocalyptic number.

13226308272 is a gapful number since it is divisible by the number (12) 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 13226308272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756414080).

13226308272 is an abundant number, since it is smaller than the sum of its proper divisors (26286519888).

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

13226308272 is a wasteful number, since it uses less digits than its factorization.

13226308272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68191 (or 68182 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13226308272 in words is "thirteen billion, two hundred twenty-six million, three hundred eight thousand, two hundred seventy-two".