1330123680 has 144 divisors (see below), whose sum is σ = 4707297504. Its totient is φ = 354689280.

The previous prime is 1330123609. The next prime is 1330123759. The reversal of 1330123680 is 863210331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21775 + ... + 55985.

It is an arithmetic number, because the mean of its divisors is an integer number (32689566).

Almost surely, 2^1330123680 is an apocalyptic number.

1330123680 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 1330123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353648752).

1330123680 is an abundant number, since it is smaller than the sum of its proper divisors (3377173824).

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

1330123680 is an equidigital number, since it uses as much as digits as its factorization.

1330123680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34241 (or 34221 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1330123680 is about 36470.8606972745. The cubic root of 1330123680 is about 1099.7585365314.

The spelling of 1330123680 in words is "one billion, three hundred thirty million, one hundred twenty-three thousand, six hundred eighty".