12361000 has 64 divisors (see below), whose sum is σ = 29652480. Its totient is φ = 4820800.

The previous prime is 12360977. The next prime is 12361003. The reversal of 12361000 is 16321.

12361000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12361003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46869 + ... + 47131.

It is an arithmetic number, because the mean of its divisors is an integer number (463320).

Almost surely, 2^12361000 is an apocalyptic number.

12361000 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 12361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826240).

12361000 is an abundant number, since it is smaller than the sum of its proper divisors (17291480).

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

12361000 is a wasteful number, since it uses less digits than its factorization.

12361000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

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

The square root of 12361000 is about 3515.8213834039. The cubic root of 12361000 is about 231.2159920772.

Adding to 12361000 its reverse (16321), we get a palindrome (12377321).

The spelling of 12361000 in words is "twelve million, three hundred sixty-one thousand".