11222012000 has 96 divisors (see below), whose sum is σ = 27634763520. Its totient is φ = 4478668800.

The previous prime is 11222011993. The next prime is 11222012003. The reversal of 11222012000 is 21022211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222012003) 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 15 ways as a sum of consecutive naturals, for example, 1913072 + ... + 1918928.

It is an arithmetic number, because the mean of its divisors is an integer number (287862120).

Almost surely, 2^11222012000 is an apocalyptic number.

11222012000 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 11222012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13817381760).

11222012000 is an abundant number, since it is smaller than the sum of its proper divisors (16412751520).

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

11222012000 is an equidigital number, since it uses as much as digits as its factorization.

11222012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6361 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11222012000 its reverse (21022211), we get a palindrome (11243034211).

The spelling of 11222012000 in words is "eleven billion, two hundred twenty-two million, twelve thousand".