11223108000 has 288 divisors, whose sum is σ = 42896507472. Its totient is φ = 2762496000.

The previous prime is 11223107989. The next prime is 11223108007. The reversal of 11223108000 is 80132211.

It can be written as a sum of positive squares in 8 ways, for example, as 1730892816 + 9492215184 = 41604^2 + 97428^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (11223108007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456010 + ... + 479990.

Almost surely, 2^11223108000 is an apocalyptic number.

11223108000 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 11223108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21448253736).

11223108000 is an abundant number, since it is smaller than the sum of its proper divisors (31673399472).

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

11223108000 is a wasteful number, since it uses less digits than its factorization.

11223108000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24025 (or 24004 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 11223108000 in words is "eleven billion, two hundred twenty-three million, one hundred eight thousand".