1133322120 has 192 divisors, whose sum is σ = 4236261120. Its totient is φ = 257398272.

The previous prime is 1133322107. The next prime is 1133322163. The reversal of 1133322120 is 212233311.

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 = 1133322093 and 1133322102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419494 + ... + 422186.

It is an arithmetic number, because the mean of its divisors is an integer number (22063860).

Almost surely, 2^1133322120 is an apocalyptic number.

1133322120 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 1133322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118130560).

1133322120 is an abundant number, since it is smaller than the sum of its proper divisors (3102939000).

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

1133322120 is a wasteful number, since it uses less digits than its factorization.

1133322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2877 counting only the distinct ones).

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

The square root of 1133322120 is about 33664.8499179782. The cubic root of 1133322120 is about 1042.6001628999.

Adding to 1133322120 its reverse (212233311), we get a palindrome (1345555431).

It can be divided in two parts, 113 and 3322120, that added together give a palindrome (3322233).

The spelling of 1133322120 in words is "one billion, one hundred thirty-three million, three hundred twenty-two thousand, one hundred twenty".