12221140272 has 160 divisors (see below), whose sum is σ = 35487728640. Its totient is φ = 3591936000.

The previous prime is 12221140201. The next prime is 12221140273. The reversal of 12221140272 is 27204112221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12221140273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3916729 + ... + 3919847.

It is an arithmetic number, because the mean of its divisors is an integer number (221798304).

Almost surely, 2^12221140272 is an apocalyptic number.

12221140272 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 12221140272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17743864320).

12221140272 is an abundant number, since it is smaller than the sum of its proper divisors (23266588368).

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

12221140272 is a wasteful number, since it uses less digits than its factorization.

12221140272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

Adding to 12221140272 its reverse (27204112221), we get a palindrome (39425252493).

The spelling of 12221140272 in words is "twelve billion, two hundred twenty-one million, one hundred forty thousand, two hundred seventy-two".