12117960 has 96 divisors (see below), whose sum is σ = 40393080. Its totient is φ = 3148800.

The previous prime is 12117949. The next prime is 12117967. The reversal of 12117960 is 6971121.

It can be written as a sum of positive squares in 4 ways, for example, as 5116644 + 7001316 = 2262^2 + 2646^2 .

It is not an unprimeable number, because it can be changed into a prime (12117967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14350 + ... + 15170.

Almost surely, 2^12117960 is an apocalyptic number.

12117960 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 12117960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20196540).

12117960 is an abundant number, since it is smaller than the sum of its proper divisors (28275120).

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

12117960 is a wasteful number, since it uses less digits than its factorization.

12117960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 12117960 is about 3481.0860374314. The cubic root of 12117960 is about 229.6905731923.

It can be divided in two parts, 121 and 17960, that added together give a palindrome (18081).

The spelling of 12117960 in words is "twelve million, one hundred seventeen thousand, nine hundred sixty".