12240960 has 112 divisors (see below), whose sum is σ = 39940992. Its totient is φ = 3174400.

The previous prime is 12240953. The next prime is 12240973. The reversal of 12240960 is 6904221.

It is a super-2 number, since 2×12240960² = 299682203443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12240960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39205 + ... + 39515.

It is an arithmetic number, because the mean of its divisors is an integer number (356616).

Almost surely, 2^12240960 is an apocalyptic number.

12240960 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 12240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970496).

12240960 is an abundant number, since it is smaller than the sum of its proper divisors (27700032).

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

12240960 is a wasteful number, since it uses less digits than its factorization.

12240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12240960 is about 3498.7083330852. The cubic root of 12240960 is about 230.4650954184.

The spelling of 12240960 in words is "twelve million, two hundred forty thousand, nine hundred sixty".