11212032000 has 384 divisors, whose sum is σ = 40209886080. Its totient is φ = 2757427200.

The previous prime is 11212031977. The next prime is 11212032037. The reversal of 11212032000 is 23021211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9983439 + ... + 9984561.

It is an arithmetic number, because the mean of its divisors is an integer number (104713245).

Almost surely, 2^11212032000 is an apocalyptic number.

11212032000 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 11212032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20104943040).

11212032000 is an abundant number, since it is smaller than the sum of its proper divisors (28997854080).

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

11212032000 is a wasteful number, since it uses less digits than its factorization.

11212032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11212032000 its reverse (23021211), we get a palindrome (11235053211).

The spelling of 11212032000 in words is "eleven billion, two hundred twelve million, thirty-two thousand".