11217647272 has 128 divisors (see below), whose sum is σ = 24843974400. Its totient is φ = 4702924800.

The previous prime is 11217647261. The next prime is 11217647299. The reversal of 11217647272 is 27274671211.

It is a super-2 number, since 2×11217647272² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5189872 + ... + 5192032.

It is an arithmetic number, because the mean of its divisors is an integer number (194093550).

Almost surely, 2^11217647272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11217647272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12421987200).

11217647272 is an abundant number, since it is smaller than the sum of its proper divisors (13626327128).

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

11217647272 is a wasteful number, since it uses less digits than its factorization.

11217647272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2303 counting only the distinct ones).

The product of its digits is 65856, while the sum is 40.

The spelling of 11217647272 in words is "eleven billion, two hundred seventeen million, six hundred forty-seven thousand, two hundred seventy-two".