11101224400 has 180 divisors, whose sum is σ = 32851081548. Its totient is φ = 3582136320.

The previous prime is 11101224397. The next prime is 11101224437. The reversal of 11101224400 is 442210111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 93857344 + 11007367056 = 9688^2 + 104916^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316542 + ... + 349858.

Almost surely, 2^11101224400 is an apocalyptic number.

11101224400 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 11101224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425540774).

11101224400 is an abundant number, since it is smaller than the sum of its proper divisors (21749857148).

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

11101224400 is a wasteful number, since it uses less digits than its factorization.

11101224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33366 (or 33348 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11101224400 its reverse (442210111), we get a palindrome (11543434511).

The spelling of 11101224400 in words is "eleven billion, one hundred one million, two hundred twenty-four thousand, four hundred".