11321226000 has 480 divisors, whose sum is σ = 47578502400. Its totient is φ = 2450995200.

The previous prime is 11321225999. The next prime is 11321226011. The reversal of 11321226000 is 62212311.

11321226000 is a `hidden beast` number, since 11 + 32 + 1 + 22 + 600 + 0 = 666.

It is a super-4 number, since 4×11321226000⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 2391636 + ... + 2396364.

It is an arithmetic number, because the mean of its divisors is an integer number (99121880).

Almost surely, 2^11321226000 is an apocalyptic number.

11321226000 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 11321226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23789251200).

11321226000 is an abundant number, since it is smaller than the sum of its proper divisors (36257276400).

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

11321226000 is a wasteful number, since it uses less digits than its factorization.

11321226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11321226000 its reverse (62212311), we get a palindrome (11383438311).

The spelling of 11321226000 in words is "eleven billion, three hundred twenty-one million, two hundred twenty-six thousand".