3001012010112 has 128 divisors (see below), whose sum is σ = 8059709226240. Its totient is φ = 989292213248.

The previous prime is 3001012010111. The next prime is 3001012010123. The reversal of 3001012010112 is 2110102101003.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3001012010111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24056443 + ... + 24180869.

It is an arithmetic number, because the mean of its divisors is an integer number (62966478330).

Almost surely, 2^{3001012010112} is an apocalyptic number.

3001012010112 is a gapful number since it is divisible by the number (32) 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 3001012010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029854613120).

3001012010112 is an abundant number, since it is smaller than the sum of its proper divisors (5058697216128).

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

3001012010112 is a wasteful number, since it uses less digits than its factorization.

3001012010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125138 (or 125126 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 3001012010112 its reverse (2110102101003), we get a palindrome (5111114111115).

The spelling of 3001012010112 in words is "three trillion, one billion, twelve million, ten thousand, one hundred twelve".