12211264 has 42 divisors (see below), whose sum is σ = 26262330. Its totient is φ = 5630976.

The previous prime is 12211261. The next prime is 12211273. The reversal of 12211264 is 46211221.

It can be written as a sum of positive squares in 3 ways, for example, as 705600 + 11505664 = 840^2 + 3392^2 .

It is a super-2 number, since 2×12211264² = 298229936955392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12211261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10252 + ... + 11380.

Almost surely, 2^12211264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13131165).

12211264 is an abundant number, since it is smaller than the sum of its proper divisors (14051066).

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

12211264 is a wasteful number, since it uses less digits than its factorization.

12211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1144 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 12211264 is about 3494.4619042136. The cubic root of 12211264 is about 230.2785786402.

Adding to 12211264 its reverse (46211221), we get a palindrome (58422485).

It can be divided in two parts, 1221 and 1264, that added together give a triangular number (2485 = T₇₀).

The spelling of 12211264 in words is "twelve million, two hundred eleven thousand, two hundred sixty-four".