11272218800 has 120 divisors (see below), whose sum is σ = 28072578240. Its totient is φ = 4344524800.

The previous prime is 11272218767. The next prime is 11272218803. The reversal of 11272218800 is 881227211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11272218803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10219049 + ... + 10220151.

It is an arithmetic number, because the mean of its divisors is an integer number (233938152).

Almost surely, 2^11272218800 is an apocalyptic number.

11272218800 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 11272218800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14036289120).

11272218800 is an abundant number, since it is smaller than the sum of its proper divisors (16800359440).

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

11272218800 is a wasteful number, since it uses less digits than its factorization.

11272218800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The spelling of 11272218800 in words is "eleven billion, two hundred seventy-two million, two hundred eighteen thousand, eight hundred".