13221264 has 120 divisors (see below), whose sum is σ = 41574720. Its totient is φ = 3545856.

The previous prime is 13221233. The next prime is 13221269. The reversal of 13221264 is 46212231.

13221264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13221264³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13221264.

It is not an unprimeable number, because it can be changed into a prime (13221269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121242 + ... + 121350.

It is an arithmetic number, because the mean of its divisors is an integer number (346456).

Almost surely, 2^13221264 is an apocalyptic number.

13221264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20787360).

13221264 is an abundant number, since it is smaller than the sum of its proper divisors (28353456).

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

13221264 is a wasteful number, since it uses less digits than its factorization.

13221264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 13221264 is about 3636.1056090273. The cubic root of 13221264 is about 236.4599857509.

Adding to 13221264 its reverse (46212231), we get a palindrome (59433495).

The spelling of 13221264 in words is "thirteen million, two hundred twenty-one thousand, two hundred sixty-four".