12905010 has 48 divisors (see below), whose sum is σ = 33755904. Its totient is φ = 3420576.

The previous prime is 12905003. The next prime is 12905041. The reversal of 12905010 is 1050921.

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 23 ways as a sum of consecutive naturals, for example, 19749 + ... + 20391.

It is an arithmetic number, because the mean of its divisors is an integer number (703248).

Almost surely, 2^12905010 is an apocalyptic number.

12905010 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 12905010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16877952).

12905010 is an abundant number, since it is smaller than the sum of its proper divisors (20850894).

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

12905010 is a wasteful number, since it uses less digits than its factorization.

12905010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 12905010 is about 3592.3543811823. The cubic root of 12905010 is about 234.5593674655.

Adding to 12905010 its reverse (1050921), we get a palindrome (13955931).

The spelling of 12905010 in words is "twelve million, nine hundred five thousand, ten".