12612100 has 36 divisors (see below), whose sum is σ = 28318500. Its totient is φ = 4869760.

The previous prime is 12612091. The next prime is 12612109. The reversal of 12612100 is 121621.

It is an interprime number because it is at equal distance from previous prime (12612091) and next prime (12612109).

It can be written as a sum of positive squares in 6 ways, for example, as 2359296 + 10252804 = 1536^2 + 3202^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12612109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726 + ... + 5074.

It is an arithmetic number, because the mean of its divisors is an integer number (786625).

Almost surely, 2^12612100 is an apocalyptic number.

12612100 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 12612100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14159250).

12612100 is an abundant number, since it is smaller than the sum of its proper divisors (15706400).

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

12612100 is a wasteful number, since it uses less digits than its factorization.

12612100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 12612100 is about 3551.3518552799. The cubic root of 12612100 is about 232.7711408745.

Adding to 12612100 its reverse (121621), we get a palindrome (12733721).

The spelling of 12612100 in words is "twelve million, six hundred twelve thousand, one hundred".