12216960 has 256 divisors, whose sum is σ = 49939200. Its totient is φ = 2764800.

The previous prime is 12216959. The next prime is 12216983. The reversal of 12216960 is 6961221.

It is a super-2 number, since 2×12216960² = 298508223283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120910 + ... + 121010.

It is an arithmetic number, because the mean of its divisors is an integer number (195075).

Almost surely, 2^12216960 is an apocalyptic number.

12216960 is a gapful number since it is divisible by the number (10) 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 12216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24969600).

12216960 is an abundant number, since it is smaller than the sum of its proper divisors (37722240).

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

12216960 is a wasteful number, since it uses less digits than its factorization.

12216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12216960 is about 3495.2768130722. The cubic root of 12216960 is about 230.3143779070.

The spelling of 12216960 in words is "twelve million, two hundred sixteen thousand, nine hundred sixty".