11222320032 has 288 divisors, whose sum is σ = 40003891200. Its totient is φ = 2899100160.

The previous prime is 11222320019. The next prime is 11222320079. The reversal of 11222320032 is 23002322211.

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 a junction number, because it is equal to n+sod(n) for n = 11222319987 and 11222320014.

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, 4411753 + ... + 4414295.

It is an arithmetic number, because the mean of its divisors is an integer number (138902400).

Almost surely, 2^11222320032 is an apocalyptic number.

11222320032 is a gapful number since it is divisible by the number (12) 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 11222320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001945600).

11222320032 is an abundant number, since it is smaller than the sum of its proper divisors (28781571168).

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

11222320032 is a wasteful number, since it uses less digits than its factorization.

11222320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2765 counting only the distinct ones).

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

Adding to 11222320032 its reverse (23002322211), we get a palindrome (34224642243).

The spelling of 11222320032 in words is "eleven billion, two hundred twenty-two million, three hundred twenty thousand, thirty-two".