12136000 has 112 divisors (see below), whose sum is σ = 31619952. Its totient is φ = 4608000.

The previous prime is 12135997. The next prime is 12136013. The reversal of 12136000 is 63121.

It can be written as a sum of positive squares in 8 ways, for example, as 4562496 + 7573504 = 2136^2 + 2752^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295980 + ... + 296020.

It is an arithmetic number, because the mean of its divisors is an integer number (282321).

Almost surely, 2^12136000 is an apocalyptic number.

12136000 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 12136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809976).

12136000 is an abundant number, since it is smaller than the sum of its proper divisors (19483952).

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

12136000 is an equidigital number, since it uses as much as digits as its factorization.

12136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 12136000 is about 3483.6762191685. The cubic root of 12136000 is about 229.8044967525.

Adding to 12136000 its reverse (63121), we get a palindrome (12199121).

The spelling of 12136000 in words is "twelve million, one hundred thirty-six thousand".