1012144303200 has 288 divisors, whose sum is σ = 3470080400640. Its totient is φ = 255540787200.

The previous prime is 1012144303139. The next prime is 1012144303201. The reversal of 1012144303200 is 23034412101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012144303201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84855637 + ... + 84867563.

It is an arithmetic number, because the mean of its divisors is an integer number (12048890280).

Almost surely, 2^{1012144303200} is an apocalyptic number.

1012144303200 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 1012144303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735040200320).

1012144303200 is an abundant number, since it is smaller than the sum of its proper divisors (2457936097440).

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

1012144303200 is a wasteful number, since it uses less digits than its factorization.

1012144303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13830 (or 13817 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1012144303200 its reverse (23034412101), we get a palindrome (1035178715301).

The spelling of 1012144303200 in words is "one trillion, twelve billion, one hundred forty-four million, three hundred three thousand, two hundred".