1012123440016 has 80 divisors (see below), whose sum is σ = 2169338747184. Its totient is φ = 454419044352.

The previous prime is 1012123439989. The next prime is 1012123440077. The reversal of 1012123440016 is 6100443212101.

It can be written as a sum of positive squares in 8 ways, for example, as 77606816400 + 934516623616 = 278580^2 + 966704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53223726 + ... + 53242738.

Almost surely, 2^{1012123440016} is an apocalyptic number.

1012123440016 is a gapful number since it is divisible by the number (16) 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 1012123440016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084669373592).

1012123440016 is an abundant number, since it is smaller than the sum of its proper divisors (1157215307168).

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

1012123440016 is a wasteful number, since it uses less digits than its factorization.

1012123440016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25988 (or 25982 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1012123440016 its reverse (6100443212101), we get a palindrome (7112566652117).

The spelling of 1012123440016 in words is "one trillion, twelve billion, one hundred twenty-three million, four hundred forty thousand, sixteen".