12218667061441 has 9 divisors (see below), whose sum is σ = 12332177896521. Its totient is φ = 12106191682224.

The previous prime is 12218667061409. The next prime is 12218667061453. The reversal of 12218667061441 is 14416076681221.

The square root of 12218667061441 is 3495521.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3450198515841 + 8768468545600 = 1857471^2 + 2961160^2 .

It is not a de Polignac number, because 12218667061441 - 2⁵ = 12218667061409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12218667061141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 380995755 + ... + 381027823.

Almost surely, 2^{12218667061441} is an apocalyptic number.

12218667061441 is the 3495521-st square number.

12218667061441 is the 1747761-st centered octagonal number.

It is an amenable number.

12218667061441 is a deficient number, since it is larger than the sum of its proper divisors (113510835080).

12218667061441 is an frugal number, since it uses more digits than its factorization.

12218667061441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64356 (or 32178 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 12218667061441 by its sum of digits (49), we get a square (598714686010609 = 24468647²).

The spelling of 12218667061441 in words is "twelve trillion, two hundred eighteen billion, six hundred sixty-seven million, sixty-one thousand, four hundred forty-one".