11221434400 has 144 divisors (see below), whose sum is σ = 29938083840. Its totient is φ = 4073241600.

The previous prime is 11221434359. The next prime is 11221434403. The reversal of 11221434400 is 443412211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11221434403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8772961 + ... + 8774239.

It is an arithmetic number, because the mean of its divisors is an integer number (207903360).

Almost surely, 2^11221434400 is an apocalyptic number.

11221434400 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 11221434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14969041920).

11221434400 is an abundant number, since it is smaller than the sum of its proper divisors (18716649440).

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

11221434400 is a wasteful number, since it uses less digits than its factorization.

11221434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11221434400 its reverse (443412211), we get a palindrome (11664846611).

The spelling of 11221434400 in words is "eleven billion, two hundred twenty-one million, four hundred thirty-four thousand, four hundred".