12300960 has 144 divisors (see below), whose sum is σ = 45160416. Its totient is φ = 2806272.

The previous prime is 12300949. The next prime is 12300971. The reversal of 12300960 is 6900321.

12300960 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12300949) and next prime (12300971).

It is a Harshad number since it is a multiple of its sum of digits (21).

12300960 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23259 + ... + 23781.

It is an arithmetic number, because the mean of its divisors is an integer number (313614).

Almost surely, 2^12300960 is an apocalyptic number.

12300960 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 12300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22580208).

12300960 is an abundant number, since it is smaller than the sum of its proper divisors (32859456).

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

12300960 is a wasteful number, since it uses less digits than its factorization.

12300960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 12300960 is about 3507.2724445073. The cubic root of 12300960 is about 230.8410292832.

The spelling of 12300960 in words is "twelve million, three hundred thousand, nine hundred sixty".