11200232023200 has 1728 divisors, whose sum is σ = 46057612124160. Its totient is φ = 2535349248000.

The previous prime is 11200232023199. The next prime is 11200232023241. The reversal of 11200232023200 is 232023200211.

11200232023200 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 2 + 320 + 2 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12627093157 + ... + 12627094043.

It is an arithmetic number, because the mean of its divisors is an integer number (26653710720).

Almost surely, 2^{11200232023200} is an apocalyptic number.

11200232023200 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 11200232023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23028806062080).

11200232023200 is an abundant number, since it is smaller than the sum of its proper divisors (34857380100960).

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

11200232023200 is a wasteful number, since it uses less digits than its factorization.

11200232023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11200232023200 its reverse (232023200211), we get a palindrome (11432255223411).

The spelling of 11200232023200 in words is "eleven trillion, two hundred billion, two hundred thirty-two million, twenty-three thousand, two hundred".