12605306010 has 128 divisors (see below), whose sum is σ = 33595803648. Its totient is φ = 3001440000.

The previous prime is 12605305997. The next prime is 12605306023. The reversal of 12605306010 is 1060350621.

It is an interprime number because it is at equal distance from previous prime (12605305997) and next prime (12605306023).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4364787 + ... + 4367673.

It is an arithmetic number, because the mean of its divisors is an integer number (262467216).

Almost surely, 2^12605306010 is an apocalyptic number.

12605306010 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 12605306010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16797901824).

12605306010 is an abundant number, since it is smaller than the sum of its proper divisors (20990497638).

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

12605306010 is a wasteful number, since it uses less digits than its factorization.

12605306010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 12605306010 its reverse (1060350621), we get a palindrome (13665656631).

The spelling of 12605306010 in words is "twelve billion, six hundred five million, three hundred six thousand, ten".