12146000 has 40 divisors (see below), whose sum is σ = 29373864. Its totient is φ = 4857600.

The previous prime is 12145993. The next prime is 12146023. The reversal of 12146000 is 64121.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 12138256 = 88^2 + 3484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

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, 1037 + ... + 5036.

Almost surely, 2^12146000 is an apocalyptic number.

12146000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12146000 is an abundant number, since it is smaller than the sum of its proper divisors (17227864).

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

12146000 is an equidigital number, since it uses as much as digits as its factorization.

12146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12146000 is about 3485.1111890440. Note that the first 4 decimals coincide. The cubic root of 12146000 is about 229.8675986550.

The spelling of 12146000 in words is "twelve million, one hundred forty-six thousand".