10412142312320 has 128 divisors (see below), whose sum is σ = 29428407518400. Its totient is φ = 3446778101760.

The previous prime is 10412142312287. The next prime is 10412142312329. The reversal of 10412142312320 is 2321324121401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 10412142312320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412142312329) 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, 39941441 + ... + 40201280.

Almost surely, 2^{10412142312320} is an apocalyptic number.

10412142312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10412142312320 is an abundant number, since it is smaller than the sum of its proper divisors (19016265206080).

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

10412142312320 is an equidigital number, since it uses as much as digits as its factorization.

10412142312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80142776 (or 80142764 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10412142312320 its reverse (2321324121401), we get a palindrome (12733466433721).

The spelling of 10412142312320 in words is "ten trillion, four hundred twelve billion, one hundred forty-two million, three hundred twelve thousand, three hundred twenty".