1023111200 has 72 divisors (see below), whose sum is σ = 2508589440. Its totient is φ = 407456000.

The previous prime is 1023111191. The next prime is 1023111227. The reversal of 1023111200 is 21113201.

1023111200 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, 188525 + ... + 193875.

It is an arithmetic number, because the mean of its divisors is an integer number (34841520).

Almost surely, 2^1023111200 is an apocalyptic number.

1023111200 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 1023111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254294720).

1023111200 is an abundant number, since it is smaller than the sum of its proper divisors (1485478240).

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

1023111200 is a wasteful number, since it uses less digits than its factorization.

1023111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1023111200 is about 31986.1094852125. The cubic root of 1023111200 is about 1007.6451362767.

Adding to 1023111200 its reverse (21113201), we get a palindrome (1044224401).

The spelling of 1023111200 in words is "one billion, twenty-three million, one hundred eleven thousand, two hundred".