12410122400 has 216 divisors, whose sum is σ = 34667195220. Its totient is φ = 4311613440.

The previous prime is 12410122357. The next prime is 12410122423. The reversal of 12410122400 is 422101421.

It can be written as a sum of positive squares in 18 ways, for example, as 2835856 + 12407286544 = 1684^2 + 111388^2 .

It is a super-2 number, since 2×12410122400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3003536 + ... + 3007664.

Almost surely, 2^12410122400 is an apocalyptic number.

12410122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12410122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17333597610).

12410122400 is an abundant number, since it is smaller than the sum of its proper divisors (22257072820).

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

12410122400 is a wasteful number, since it uses less digits than its factorization.

12410122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12410122400 its reverse (422101421), we get a palindrome (12832223821).

The spelling of 12410122400 in words is "twelve billion, four hundred ten million, one hundred twenty-two thousand, four hundred".