12146720 has 48 divisors (see below), whose sum is σ = 29053080. Its totient is φ = 4798464.

The previous prime is 12146711. The next prime is 12146723. The reversal of 12146720 is 2764121.

It can be written as a sum of positive squares in 4 ways, for example, as 4682896 + 7463824 = 2164^2 + 2732^2 .

It is not an unprimeable number, because it can be changed into a prime (12146723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13814 + ... + 14666.

Almost surely, 2^12146720 is an apocalyptic number.

12146720 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 12146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526540).

12146720 is an abundant number, since it is smaller than the sum of its proper divisors (16906360).

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

12146720 is an equidigital number, since it uses as much as digits as its factorization.

12146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 12146720 is about 3485.2144840741. The cubic root of 12146720 is about 229.8721406551.

The spelling of 12146720 in words is "twelve million, one hundred forty-six thousand, seven hundred twenty".