11322211200 has 192 divisors, whose sum is σ = 37366618800. Its totient is φ = 3013263360.

The previous prime is 11322211151. The next prime is 11322211249. The reversal of 11322211200 is 211222311.

It is an interprime number because it is at equal distance from previous prime (11322211151) and next prime (11322211249).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11322211200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7035996 + ... + 7037604.

Almost surely, 2^11322211200 is an apocalyptic number.

11322211200 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 11322211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18683309400).

11322211200 is an abundant number, since it is smaller than the sum of its proper divisors (26044407600).

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

11322211200 is a wasteful number, since it uses less digits than its factorization.

11322211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11322211200 its reverse (211222311), we get a palindrome (11533433511).

The spelling of 11322211200 in words is "eleven billion, three hundred twenty-two million, two hundred eleven thousand, two hundred".