11232212288000 has 320 divisors, whose sum is σ = 31882924719360. Its totient is φ = 3906850816000.

The previous prime is 11232212287951. The next prime is 11232212288009. The reversal of 11232212288000 is 88221223211.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11232212288009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15845156 + ... + 16538844.

It is an arithmetic number, because the mean of its divisors is an integer number (99634139748).

Almost surely, 2^{11232212288000} is an apocalyptic number.

11232212288000 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 11232212288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15941462359680).

11232212288000 is an abundant number, since it is smaller than the sum of its proper divisors (20650712431360).

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

11232212288000 is an equidigital number, since it uses as much as digits as its factorization.

11232212288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693756 (or 693730 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 11232212288000 in words is "eleven trillion, two hundred thirty-two billion, two hundred twelve million, two hundred eighty-eight thousand".