1012144511320 has 32 divisors (see below), whose sum is σ = 2277363690720. Its totient is φ = 404850952960.

The previous prime is 1012144511309. The next prime is 1012144511321. The reversal of 1012144511320 is 231154412101.

It is a happy number.

It is a super-3 number, since 3×1012144511320³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012144511321) 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 7 ways as a sum of consecutive naturals, for example, 2653005 + ... + 3010435.

It is an arithmetic number, because the mean of its divisors is an integer number (71167615335).

Almost surely, 2^{1012144511320} is an apocalyptic number.

1012144511320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012144511320 is an abundant number, since it is smaller than the sum of its proper divisors (1265219179400).

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

1012144511320 is a wasteful number, since it uses less digits than its factorization.

1012144511320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428235 (or 428231 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 1012144511320 its reverse (231154412101), we get a palindrome (1243298923421).

The spelling of 1012144511320 in words is "one trillion, twelve billion, one hundred forty-four million, five hundred eleven thousand, three hundred twenty".