11229009800 has 108 divisors (see below), whose sum is σ = 26768207205. Its totient is φ = 4380707520.

The previous prime is 11229009793. The next prime is 11229009817. The reversal of 11229009800 is 890092211.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11004429604 + 224580196 = 104902^2 + 14986^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=74930.

It is a super-2 number, since 2×11229009800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88417337 + ... + 88417463.

Almost surely, 2^11229009800 is an apocalyptic number.

11229009800 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 11229009800

11229009800 is an abundant number, since it is smaller than the sum of its proper divisors (15539197405).

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

11229009800 is an equidigital number, since it uses as much as digits as its factorization.

11229009800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

Multiplying 11229009800 by its sum of digits (32), we get a square (359328313600 = 599440²).

Multiplying 11229009800 by its product of nonzero digits (2592), we get a square (29105593401600 = 5394960²).

The spelling of 11229009800 in words is "eleven billion, two hundred twenty-nine million, nine thousand, eight hundred".