12135000 has 80 divisors (see below), whose sum is σ = 37956600. Its totient is φ = 3232000.

The previous prime is 12134999. The next prime is 12135017. The reversal of 12135000 is 53121.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 19 ways as a sum of consecutive naturals, for example, 14596 + ... + 15404.

Almost surely, 2^12135000 is an apocalyptic number.

12135000 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 12135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18978300).

12135000 is an abundant number, since it is smaller than the sum of its proper divisors (25821600).

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

12135000 is an equidigital number, since it uses as much as digits as its factorization.

12135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 12135000 is about 3483.5326896701. The cubic root of 12135000 is about 229.7981846560.

Adding to 12135000 its reverse (53121), we get a palindrome (12188121).

The spelling of 12135000 in words is "twelve million, one hundred thirty-five thousand".