12412890 has 192 divisors, whose sum is σ = 41783040. Its totient is φ = 2488320.

The previous prime is 12412879. The next prime is 12412901. The reversal of 12412890 is 9821421.

It is an interprime number because it is at equal distance from previous prime (12412879) and next prime (12412901).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203460 + ... + 203520.

It is an arithmetic number, because the mean of its divisors is an integer number (217620).

Almost surely, 2^12412890 is an apocalyptic number.

12412890 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 12412890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

12412890 is an abundant number, since it is smaller than the sum of its proper divisors (29370150).

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

12412890 is a wasteful number, since it uses less digits than its factorization.

12412890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12412890 is about 3523.1931539443. The cubic root of 12412890 is about 231.5390794334.

The spelling of 12412890 in words is "twelve million, four hundred twelve thousand, eight hundred ninety".