10412131441122 has 96 divisors (see below), whose sum is σ = 24466175997120. Its totient is φ = 3187449538560.

The previous prime is 10412131441093. The next prime is 10412131441181. The reversal of 10412131441122 is 22114413121401.

10412131441122 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 213 + 1 + 441 + 1 + 2 + 2 = 666.

It is a super-2 number, since 2×10412131441122² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13019722 + ... + 13796282.

It is an arithmetic number, because the mean of its divisors is an integer number (254855999970).

Almost surely, 2^{10412131441122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412131441122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12233087998560).

10412131441122 is an abundant number, since it is smaller than the sum of its proper divisors (14054044555998).

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

10412131441122 is a wasteful number, since it uses less digits than its factorization.

10412131441122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777648 (or 777645 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10412131441122 its reverse (22114413121401), we get a palindrome (32526544562523).

It can be divided in two parts, 104121314 and 41122, that added together give a square (104162436 = 10206²).

The spelling of 10412131441122 in words is "ten trillion, four hundred twelve billion, one hundred thirty-one million, four hundred forty-one thousand, one hundred twenty-two".