1012753324000 has 192 divisors, whose sum is σ = 2716921351872. Its totient is φ = 367951872000.

The previous prime is 1012753323947. The next prime is 1012753324001. The reversal of 1012753324000 is 4233572101.

It is a self number, because there is not a number n which added to its sum of digits gives 1012753324000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012753324001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53538544 + ... + 53557456.

It is an arithmetic number, because the mean of its divisors is an integer number (14150632041).

Almost surely, 2^{1012753324000} is an apocalyptic number.

1012753324000 is a gapful number since it is divisible by the number (10) 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 1012753324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358460675936).

1012753324000 is an abundant number, since it is smaller than the sum of its proper divisors (1704168027872).

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

1012753324000 is a wasteful number, since it uses less digits than its factorization.

1012753324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20166 (or 20148 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 1012753324000 its reverse (4233572101), we get a palindrome (1016986896101).

The spelling of 1012753324000 in words is "one trillion, twelve billion, seven hundred fifty-three million, three hundred twenty-four thousand".