10412142312 has 128 divisors (see below), whose sum is σ = 30652110720. Its totient is φ = 2905728000.

The previous prime is 10412142289. The next prime is 10412142317. The reversal of 10412142312 is 21324121401.

It is not an unprimeable number, because it can be changed into a prime (10412142317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1578862 + ... + 1585442.

It is an arithmetic number, because the mean of its divisors is an integer number (239469615).

Almost surely, 2^10412142312 is an apocalyptic number.

10412142312 is a gapful number since it is divisible by the number (12) 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 10412142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15326055360).

10412142312 is an abundant number, since it is smaller than the sum of its proper divisors (20239968408).

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

10412142312 is a wasteful number, since it uses less digits than its factorization.

10412142312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7075 (or 7071 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10412142312 its reverse (21324121401), we get a palindrome (31736263713).

The spelling of 10412142312 in words is "ten billion, four hundred twelve million, one hundred forty-two thousand, three hundred twelve".