12218611133169 has 189 divisors, whose sum is σ = 21350805239673. Its totient is φ = 6733364745744.

The previous prime is 12218611133143. The next prime is 12218611133189. The reversal of 12218611133169 is 96133111681221.

The square root of 12218611133169 is 3495513.

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

12218611133169 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 8 + 611 + 13 + 3 + 16 + 9 = 666.

It is not a de Polignac number, because 12218611133169 - 2¹⁹ = 12218610608881 is a prime.

It is a super-2 number, since 2×12218611133169² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12218611133129) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 154665963672 + ... + 154665963750.

Almost surely, 2^{12218611133169} is an apocalyptic number.

12218611133169 is the 3495513-rd square number.

12218611133169 is the 1747757-th centered octagonal number.

It is an amenable number.

12218611133169 is a deficient number, since it is larger than the sum of its proper divisors (9132194106504).

12218611133169 is an frugal number, since it uses more digits than its factorization.

12218611133169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 132 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 12218611133169 in words is "twelve trillion, two hundred eighteen billion, six hundred eleven million, one hundred thirty-three thousand, one hundred sixty-nine".