1330124144320 has 112 divisors (see below), whose sum is σ = 3211905895200. Its totient is φ = 524618768384.

The previous prime is 1330124144317. The next prime is 1330124144329. The reversal of 1330124144320 is 234414210331.

It is a happy number.

It is a super-3 number, since 3×1330124144320³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1330124144329) 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, 6430347 + ... + 6633973.

Almost surely, 2^{1330124144320} is an apocalyptic number.

1330124144320 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 1330124144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605952947600).

1330124144320 is an abundant number, since it is smaller than the sum of its proper divisors (1881781750880).

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

1330124144320 is a wasteful number, since it uses less digits than its factorization.

1330124144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203930 (or 203920 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1330124144320 its reverse (234414210331), we get a palindrome (1564538354651).

The spelling of 1330124144320 in words is "one trillion, three hundred thirty billion, one hundred twenty-four million, one hundred forty-four thousand, three hundred twenty".