1320153120 has 384 divisors, whose sum is σ = 5430862080. Its totient is φ = 295280640.

The previous prime is 1320153119. The next prime is 1320153161. The reversal of 1320153120 is 213510231.

1320153120 is a `hidden beast` number, since 132 + 0 + 1 + 531 + 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 = 1320153093 and 1320153102.

It is a congruent number.

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, 616692 + ... + 618828.

It is an arithmetic number, because the mean of its divisors is an integer number (14142870).

Almost surely, 2^1320153120 is an apocalyptic number.

1320153120 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 1320153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715431040).

1320153120 is an abundant number, since it is smaller than the sum of its proper divisors (4110708960).

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

1320153120 is a wasteful number, since it uses less digits than its factorization.

1320153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1320153120 is about 36333.9114327098. The cubic root of 1320153120 is about 1097.0037246839.

Adding to 1320153120 its reverse (213510231), we get a palindrome (1533663351).

The spelling of 1320153120 in words is "one billion, three hundred twenty million, one hundred fifty-three thousand, one hundred twenty".