11022211200 has 1536 divisors, whose sum is σ = 51676692480. Its totient is φ = 1990656000.

The previous prime is 11022211153. The next prime is 11022211217. The reversal of 11022211200 is 211222011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 297897582 + ... + 297897618.

It is an arithmetic number, because the mean of its divisors is an integer number (33643680).

Almost surely, 2^11022211200 is an apocalyptic number.

11022211200 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 11022211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25838346240).

11022211200 is an abundant number, since it is smaller than the sum of its proper divisors (40654481280).

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

11022211200 is a wasteful number, since it uses less digits than its factorization.

11022211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11022211200 its reverse (211222011), we get a palindrome (11233433211).

It can be divided in two parts, 11022 and 211200, that added together give a palindrome (222222).

The spelling of 11022211200 in words is "eleven billion, twenty-two million, two hundred eleven thousand, two hundred".