11220110400 has 168 divisors, whose sum is σ = 37668082144. Its totient is φ = 2922393600.

The previous prime is 11220110393. The next prime is 11220110453. The reversal of 11220110400 is 401102211.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 179220 + ... + 233580.

Almost surely, 2^11220110400 is an apocalyptic number.

11220110400 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 11220110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18834041072).

11220110400 is an abundant number, since it is smaller than the sum of its proper divisors (26447971744).

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

11220110400 is a wasteful number, since it uses less digits than its factorization.

11220110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54429 (or 54414 counting only the distinct ones).

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

Adding to 11220110400 its reverse (401102211), we get a palindrome (11621212611).

The spelling of 11220110400 in words is "eleven billion, two hundred twenty million, one hundred ten thousand, four hundred".