12610500 has 96 divisors (see below), whose sum is σ = 42002688. Its totient is φ = 2880000.

The previous prime is 12610441. The next prime is 12610501. The reversal of 12610500 is 501621.

12610500 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12610500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12610501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9900 + ... + 11100.

It is an arithmetic number, because the mean of its divisors is an integer number (437528).

Almost surely, 2^12610500 is an apocalyptic number.

12610500 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 12610500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21001344).

12610500 is an abundant number, since it is smaller than the sum of its proper divisors (29392188).

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

12610500 is a wasteful number, since it uses less digits than its factorization.

12610500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 12610500 is about 3551.1265818047. The cubic root of 12610500 is about 232.7612971642.

The spelling of 12610500 in words is "twelve million, six hundred ten thousand, five hundred".