11222311105000 has 320 divisors, whose sum is σ = 27909260240400. Its totient is φ = 4221557760000.

The previous prime is 11222311104859. The next prime is 11222311105003. The reversal of 11222311105000 is 50111322211.

It can be written as a sum of positive squares in 40 ways, for example, as 10174173331204 + 1048137773796 = 3189698^2 + 1023786^2 .

It is not an unprimeable number, because it can be changed into a prime (11222311105003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5071083894 + ... + 5071086106.

Almost surely, 2^{11222311105000} is an apocalyptic number.

11222311105000 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 11222311105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13954630120200).

11222311105000 is an abundant number, since it is smaller than the sum of its proper divisors (16686949135400).

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

11222311105000 is a wasteful number, since it uses less digits than its factorization.

11222311105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 11222311105000 its reverse (50111322211), we get a palindrome (11272422427211).

The spelling of 11222311105000 in words is "eleven trillion, two hundred twenty-two billion, three hundred eleven million, one hundred five thousand".