11222421600 has 576 divisors, whose sum is σ = 41745328128. Its totient is φ = 2598912000.

The previous prime is 11222421589. The next prime is 11222421601. The reversal of 11222421600 is 612422211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222421601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 39655059 + ... + 39655341.

It is an arithmetic number, because the mean of its divisors is an integer number (72474528).

Almost surely, 2^11222421600 is an apocalyptic number.

11222421600 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 11222421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20872664064).

11222421600 is an abundant number, since it is smaller than the sum of its proper divisors (30522906528).

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

11222421600 is a wasteful number, since it uses less digits than its factorization.

11222421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11222421600 its reverse (612422211), we get a palindrome (11834843811).

The spelling of 11222421600 in words is "eleven billion, two hundred twenty-two million, four hundred twenty-one thousand, six hundred".