1011442323200 has 108 divisors (see below), whose sum is σ = 2509919641320. Its totient is φ = 403535892480.

The previous prime is 1011442323191. The next prime is 1011442323223. The reversal of 1011442323200 is 23232441101.

1011442323200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2286467 + ... + 2692733.

Almost surely, 2^{1011442323200} is an apocalyptic number.

1011442323200 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 1011442323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254959820660).

1011442323200 is an abundant number, since it is smaller than the sum of its proper divisors (1498477318120).

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

1011442323200 is an equidigital number, since it uses as much as digits as its factorization.

1011442323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406682 (or 406663 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1011442323200 its reverse (23232441101), we get a palindrome (1034674764301).

The spelling of 1011442323200 in words is "one trillion, eleven billion, four hundred forty-two million, three hundred twenty-three thousand, two hundred".