11033122320 has 320 divisors, whose sum is σ = 42425856000. Its totient is φ = 2612252160.

The previous prime is 11033122271. The next prime is 11033122339. The reversal of 11033122320 is 2322133011.

11033122320 is a `hidden beast` number, since 1 + 10 + 331 + 2 + 2 + 320 = 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 = 11033122293 and 11033122302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1016281 + ... + 1027079.

It is an arithmetic number, because the mean of its divisors is an integer number (132580800).

Almost surely, 2^11033122320 is an apocalyptic number.

11033122320 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 11033122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212928000).

11033122320 is an abundant number, since it is smaller than the sum of its proper divisors (31392733680).

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

11033122320 is a wasteful number, since it uses less digits than its factorization.

11033122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10875 (or 10863 counting only the distinct ones).

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

Adding to 11033122320 its reverse (2322133011), we get a palindrome (13355255331).

It can be divided in two parts, 110331 and 22320, that added together give a cube (132651 = 51³).

The spelling of 11033122320 in words is "eleven billion, thirty-three million, one hundred twenty-two thousand, three hundred twenty".