11033322120 has 256 divisors, whose sum is σ = 37362124800. Its totient is φ = 2895886080.

The previous prime is 11033322077. The next prime is 11033322121. The reversal of 11033322120 is 2122333011.

11033322120 is a `hidden beast` number, since 110 + 333 + 221 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11033322093 and 11033322102.

It is not an unprimeable number, because it can be changed into a prime (11033322121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35476765 + ... + 35477075.

It is an arithmetic number, because the mean of its divisors is an integer number (145945800).

Almost surely, 2^11033322120 is an apocalyptic number.

11033322120 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 11033322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681062400).

11033322120 is an abundant number, since it is smaller than the sum of its proper divisors (26328802680).

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

11033322120 is a wasteful number, since it uses less digits than its factorization.

11033322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11033322120 its reverse (2122333011), we get a palindrome (13155655131).

The spelling of 11033322120 in words is "eleven billion, thirty-three million, three hundred twenty-two thousand, one hundred twenty".