12412210410 has 96 divisors (see below), whose sum is σ = 32858963280. Its totient is φ = 3250243584.

The previous prime is 12412210409. The next prime is 12412210417. The reversal of 12412210410 is 1401221421.

12412210410 is a `hidden beast` number, since 1 + 2 + 41 + 2 + 210 + 410 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1433152449 + 10979057961 = 37857^2 + 104781^2 .

It is a super-2 number, since 2×12412210410² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12412210417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1102932 + ... + 1114128.

Almost surely, 2^12412210410 is an apocalyptic number.

12412210410 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 12412210410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16429481640).

12412210410 is an abundant number, since it is smaller than the sum of its proper divisors (20446752870).

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

12412210410 is a wasteful number, since it uses less digits than its factorization.

12412210410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11432 (or 11429 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12412210410 its reverse (1401221421), we get a palindrome (13813431831).

The spelling of 12412210410 in words is "twelve billion, four hundred twelve million, two hundred ten thousand, four hundred ten".