1329903120 has 240 divisors, whose sum is σ = 5165294400. Its totient is φ = 280562688.

The previous prime is 1329903109. The next prime is 1329903121. The reversal of 1329903120 is 213099231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1329903121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148531 + ... + 157229.

It is an arithmetic number, because the mean of its divisors is an integer number (21522060).

Almost surely, 2^1329903120 is an apocalyptic number.

1329903120 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 1329903120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582647200).

1329903120 is an abundant number, since it is smaller than the sum of its proper divisors (3835391280).

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

1329903120 is a wasteful number, since it uses less digits than its factorization.

1329903120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8742 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 1329903120 is about 36467.8367880520. The cubic root of 1329903120 is about 1099.6977461565.

The spelling of 1329903120 in words is "one billion, three hundred twenty-nine million, nine hundred three thousand, one hundred twenty".