1133122120 has 64 divisors (see below), whose sum is σ = 2764016640. Its totient is φ = 415584000.

The previous prime is 1133122079. The next prime is 1133122127. The reversal of 1133122120 is 212213311.

It is a junction number, because it is equal to n+sod(n) for n = 1133122094 and 1133122103.

It is not an unprimeable number, because it can be changed into a prime (1133122127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71305 + ... + 85735.

It is an arithmetic number, because the mean of its divisors is an integer number (43187760).

Almost surely, 2^1133122120 is an apocalyptic number.

1133122120 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 1133122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382008320).

1133122120 is an abundant number, since it is smaller than the sum of its proper divisors (1630894520).

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

1133122120 is a wasteful number, since it uses less digits than its factorization.

1133122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14606 (or 14602 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1133122120 is about 33661.8793295918. The cubic root of 1133122120 is about 1042.5388292637.

Adding to 1133122120 its reverse (212213311), we get a palindrome (1345335431).

The spelling of 1133122120 in words is "one billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred twenty".