1012000114312 has 128 divisors (see below), whose sum is σ = 2123280241920. Its totient is φ = 448358400000.

The previous prime is 1012000114283. The next prime is 1012000114319. The reversal of 1012000114312 is 2134110002101.

It is not an unprimeable number, because it can be changed into a prime (1012000114319) 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, 151652608 + ... + 151659280.

It is an arithmetic number, because the mean of its divisors is an integer number (16588126890).

Almost surely, 2^{1012000114312} 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 1012000114312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061640120960).

1012000114312 is an abundant number, since it is smaller than the sum of its proper divisors (1111280127608).

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

1012000114312 is a wasteful number, since it uses less digits than its factorization.

1012000114312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055 (or 7051 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1012000114312 its reverse (2134110002101), we get a palindrome (3146110116413).

The spelling of 1012000114312 in words is "one trillion, twelve billion, one hundred fourteen thousand, three hundred twelve".