10412314111232 has 144 divisors (see below), whose sum is σ = 23723726487552. Its totient is φ = 4514747381760.

The previous prime is 10412314111229. The next prime is 10412314111237. The reversal of 10412314111232 is 23211141321401.

It is a happy number.

It is a super-2 number, since 2×10412314111232² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412314111237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23550833 + ... + 23988879.

It is an arithmetic number, because the mean of its divisors is an integer number (164748100608).

Almost surely, 2^{10412314111232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412314111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11861863243776).

10412314111232 is an abundant number, since it is smaller than the sum of its proper divisors (13311412376320).

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

10412314111232 is a wasteful number, since it uses less digits than its factorization.

10412314111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438464 (or 438450 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 10412314111232 its reverse (23211141321401), we get a palindrome (33623455432633).

The spelling of 10412314111232 in words is "ten trillion, four hundred twelve billion, three hundred fourteen million, one hundred eleven thousand, two hundred thirty-two".