12125610 has 96 divisors (see below), whose sum is σ = 37964160. Its totient is φ = 2623104.

The previous prime is 12125609. The next prime is 12125647. The reversal of 12125610 is 1652121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

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 47 ways as a sum of consecutive naturals, for example, 11464 + ... + 12476.

It is an arithmetic number, because the mean of its divisors is an integer number (395460).

Almost surely, 2^12125610 is an apocalyptic number.

12125610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12125610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18982080).

12125610 is an abundant number, since it is smaller than the sum of its proper divisors (25838550).

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

12125610 is a wasteful number, since it uses less digits than its factorization.

12125610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 12125610 is about 3482.1846590898. The cubic root of 12125610 is about 229.7388971472.

Adding to 12125610 its reverse (1652121), we get a palindrome (13777731).

The spelling of 12125610 in words is "twelve million, one hundred twenty-five thousand, six hundred ten".