11147121272 has 64 divisors (see below), whose sum is σ = 25552739520. Its totient is φ = 4449927168.

The previous prime is 11147121259. The next prime is 11147121311. The reversal of 11147121272 is 27212174111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31988 + ... + 152700.

It is an arithmetic number, because the mean of its divisors is an integer number (399261555).

Almost surely, 2^11147121272 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 11147121272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12776369760).

11147121272 is an abundant number, since it is smaller than the sum of its proper divisors (14405618248).

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

11147121272 is a wasteful number, since it uses less digits than its factorization.

11147121272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120840 (or 120836 counting only the distinct ones).

The product of its digits is 1568, while the sum is 29.

Adding to 11147121272 its reverse (27212174111), we get a palindrome (38359295383).

The spelling of 11147121272 in words is "eleven billion, one hundred forty-seven million, one hundred twenty-one thousand, two hundred seventy-two".