12212681121 has 21 divisors (see below), whose sum is σ = 18315120099. Its totient is φ = 8139798216.

The previous prime is 12212681101. The next prime is 12212681161. The reversal of 12212681121 is 12118621221.

The square root of 12212681121 is 110511.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5061611025 + 7151070096 = 71145^2 + 84564^2 .

It is not a de Polignac number, because 12212681121 - 2⁷ = 12212680993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12212681101) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2981751 + ... + 2985843.

Almost surely, 2^12212681121 is an apocalyptic number.

12212681121 is the 110511-st square number.

12212681121 is the 55256-th centered octagonal number.

It is an amenable number.

12212681121 is a deficient number, since it is larger than the sum of its proper divisors (6102438978).

12212681121 is an frugal number, since it uses more digits than its factorization.

12212681121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204 (or 4096 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The spelling of 12212681121 in words is "twelve billion, two hundred twelve million, six hundred eighty-one thousand, one hundred twenty-one".