11226415200 has 576 divisors, whose sum is σ = 49073859072. Its totient is φ = 2152857600.

The previous prime is 11226415169. The next prime is 11226415241. The reversal of 11226415200 is 251462211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2400064 + ... + 2404736.

It is an arithmetic number, because the mean of its divisors is an integer number (85197672).

Almost surely, 2^11226415200 is an apocalyptic number.

11226415200 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 11226415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24536929536).

11226415200 is an abundant number, since it is smaller than the sum of its proper divisors (37847443872).

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

11226415200 is a wasteful number, since it uses less digits than its factorization.

11226415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11226415200 its reverse (251462211), we get a palindrome (11477877411).

It can be divided in two parts, 11226 and 415200, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 11226415200 in words is "eleven billion, two hundred twenty-six million, four hundred fifteen thousand, two hundred".