11292283200 has 336 divisors, whose sum is σ = 41725900800. Its totient is φ = 2648832000.

The previous prime is 11292283187. The next prime is 11292283237. The reversal of 11292283200 is 238229211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1633351 + ... + 1640249.

Almost surely, 2^11292283200 is an apocalyptic number.

11292283200 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 11292283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20862950400).

11292283200 is an abundant number, since it is smaller than the sum of its proper divisors (30433617600).

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

11292283200 is a wasteful number, since it uses less digits than its factorization.

11292283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966 (or 6951 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

It can be divided in two parts, 11292 and 283200, that added together give a palindrome (294492).

The spelling of 11292283200 in words is "eleven billion, two hundred ninety-two million, two hundred eighty-three thousand, two hundred".