1012012012128 has 192 divisors, whose sum is σ = 3084905779200. Its totient is φ = 287804067840.

The previous prime is 1012012012073. The next prime is 1012012012129. The reversal of 1012012012128 is 8212102102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012012012129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451713 + ... + 1492671.

It is an arithmetic number, because the mean of its divisors is an integer number (16067217600).

Almost surely, 2^{1012012012128} 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 1012012012128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542452889600).

1012012012128 is an abundant number, since it is smaller than the sum of its proper divisors (2072893767072).

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

1012012012128 is a wasteful number, since it uses less digits than its factorization.

1012012012128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041045 (or 1041037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 1012012012128 its reverse (8212102102101), we get a palindrome (9224114114229).

The spelling of 1012012012128 in words is "one trillion, twelve billion, twelve million, twelve thousand, one hundred twenty-eight".