12410104122 has 80 divisors (see below), whose sum is σ = 30020166792. Its totient is φ = 3809151360.

The previous prime is 12410104121. The next prime is 12410104123. The reversal of 12410104122 is 22140101421.

12410104122 is a `hidden beast` number, since 1 + 241 + 0 + 10 + 412 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12410104121) and next prime (12410104123).

It can be written as a sum of positive squares in 4 ways, for example, as 4165282521 + 8244821601 = 64539^2 + 90801^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12410104095 and 12410104104.

It is not an unprimeable number, because it can be changed into a prime (12410104121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 879628 + ... + 893624.

Almost surely, 2^12410104122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12410104122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010083396).

12410104122 is an abundant number, since it is smaller than the sum of its proper divisors (17610062670).

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

12410104122 is a wasteful number, since it uses less digits than its factorization.

12410104122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14445 (or 14436 counting only the distinct ones).

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

Adding to 12410104122 its reverse (22140101421), we get a palindrome (34550205543).

The spelling of 12410104122 in words is "twelve billion, four hundred ten million, one hundred four thousand, one hundred twenty-two".