12147360 has 48 divisors (see below), whose sum is σ = 38265696. Its totient is φ = 3239168.

The previous prime is 12147353. The next prime is 12147361. The reversal of 12147360 is 6374121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×12147360³ (a number of 22 digits) contains 333 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 12147360.

It is not an unprimeable number, because it can be changed into a prime (12147361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12174 + ... + 13133.

It is an arithmetic number, because the mean of its divisors is an integer number (797202).

Almost surely, 2^12147360 is an apocalyptic number.

12147360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12147360 is an abundant number, since it is smaller than the sum of its proper divisors (26118336).

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

12147360 is a wasteful number, since it uses less digits than its factorization.

12147360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25325 (or 25317 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 12147360 is about 3485.3062993086. The cubic root of 12147360 is about 229.8761778379.

The spelling of 12147360 in words is "twelve million, one hundred forty-seven thousand, three hundred sixty".