11022122400 has 144 divisors (see below), whose sum is σ = 36846954144. Its totient is φ = 2859770880.

The previous prime is 11022122393. The next prime is 11022122459. The reversal of 11022122400 is 422122011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11022122400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26739 + ... + 150861.

It is an arithmetic number, because the mean of its divisors is an integer number (255881626).

Almost surely, 2^11022122400 is an apocalyptic number.

11022122400 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 11022122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18423477072).

11022122400 is an abundant number, since it is smaller than the sum of its proper divisors (25824831744).

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

11022122400 is a wasteful number, since it uses less digits than its factorization.

11022122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124183 (or 124170 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11022122400 its reverse (422122011), we get a palindrome (11444244411).

The spelling of 11022122400 in words is "eleven billion, twenty-two million, one hundred twenty-two thousand, four hundred".