1133125120 has 80 divisors (see below), whose sum is σ = 2810712960. Its totient is φ = 437592064.

The previous prime is 1133125073. The next prime is 1133125151. The reversal of 1133125120 is 215213311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66609 + ... + 81871.

It is an arithmetic number, because the mean of its divisors is an integer number (35133912).

Almost surely, 2^1133125120 is an apocalyptic number.

1133125120 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 1133125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405356480).

1133125120 is an abundant number, since it is smaller than the sum of its proper divisors (1677587840).

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

1133125120 is an equidigital number, since it uses as much as digits as its factorization.

1133125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15315 (or 15299 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1133125120 is about 33661.9238903542. The cubic root of 1133125120 is about 1042.5397493216.

Adding to 1133125120 its reverse (215213311), we get a palindrome (1348338431).

It can be divided in two parts, 1133 and 125120, that added together give a triangular number (126253 = T₅₀₂).

The spelling of 1133125120 in words is "one billion, one hundred thirty-three million, one hundred twenty-five thousand, one hundred twenty".