12261216 has 96 divisors (see below), whose sum is σ = 37231488. Its totient is φ = 3491840.

The previous prime is 12261211. The next prime is 12261253. The reversal of 12261216 is 61216221.

12261216 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 tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 12261192 and 12261201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12261211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17611 + ... + 18293.

It is an arithmetic number, because the mean of its divisors is an integer number (387828).

Almost surely, 2^12261216 is an apocalyptic number.

12261216 is a gapful number since it is divisible by the number (16) 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 12261216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615744).

12261216 is an abundant number, since it is smaller than the sum of its proper divisors (24970272).

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

12261216 is a wasteful number, since it uses less digits than its factorization.

12261216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 12261216 is about 3501.6019191222. The cubic root of 12261216 is about 230.5921477723.

Adding to 12261216 its reverse (61216221), we get a palindrome (73477437).

It can be divided in two parts, 1226 and 1216, that added together give a palindrome (2442).

The spelling of 12261216 in words is "twelve million, two hundred sixty-one thousand, two hundred sixteen".