11354221200 has 360 divisors, whose sum is σ = 43681370880. Its totient is φ = 2511129600.

The previous prime is 11354221189. The next prime is 11354221253. The reversal of 11354221200 is 212245311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1819686 + ... + 1825914.

Almost surely, 2^11354221200 is an apocalyptic number.

11354221200 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 11354221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840685440).

11354221200 is an abundant number, since it is smaller than the sum of its proper divisors (32327149680).

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

11354221200 is a wasteful number, since it uses less digits than its factorization.

11354221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 11354221200 its reverse (212245311), we get a palindrome (11566466511).

The spelling of 11354221200 in words is "eleven billion, three hundred fifty-four million, two hundred twenty-one thousand, two hundred".