11221755228 has 120 divisors (see below), whose sum is σ = 29995996800. Its totient is φ = 3657262752.

The previous prime is 11221755217. The next prime is 11221755239. The reversal of 11221755228 is 82255712211.

11221755228 is a `hidden beast` number, since 1 + 122 + 1 + 7 + 5 + 522 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11221755217) and next prime (11221755239).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11221755192 and 11221755201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3015553 + ... + 3019271.

It is an arithmetic number, because the mean of its divisors is an integer number (249966640).

Almost surely, 2^11221755228 is an apocalyptic number.

11221755228 is a gapful number since it is divisible by the number (18) 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 11221755228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14997998400).

11221755228 is an abundant number, since it is smaller than the sum of its proper divisors (18774241572).

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

11221755228 is a wasteful number, since it uses less digits than its factorization.

11221755228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3930 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The spelling of 11221755228 in words is "eleven billion, two hundred twenty-one million, seven hundred fifty-five thousand, two hundred twenty-eight".