12221133130272 has 96 divisors (see below), whose sum is σ = 35002954586880. Its totient is φ = 3702730993920.

The previous prime is 12221133130147. The next prime is 12221133130273. The reversal of 12221133130272 is 27203133112221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12221133130273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5101323 + ... + 7103925.

It is an arithmetic number, because the mean of its divisors is an integer number (364614110280).

Almost surely, 2^{12221133130272} is an apocalyptic number.

12221133130272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12221133130272 is an abundant number, since it is smaller than the sum of its proper divisors (22781821456608).

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

12221133130272 is a wasteful number, since it uses less digits than its factorization.

12221133130272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008406 (or 2008398 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 12221133130272 its reverse (27203133112221), we get a palindrome (39424266242493).

The spelling of 12221133130272 in words is "twelve trillion, two hundred twenty-one billion, one hundred thirty-three million, one hundred thirty thousand, two hundred seventy-two".