1330141120 has 224 divisors, whose sum is σ = 4058472960. Its totient is φ = 403107840.

The previous prime is 1330141097. The next prime is 1330141171. The reversal of 1330141120 is 211410331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1330141120² = 3538550798229708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1330141094 and 1330141103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910951 + ... + 912409.

Almost surely, 2^1330141120 is an apocalyptic number.

1330141120 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 1330141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029236480).

1330141120 is an abundant number, since it is smaller than the sum of its proper divisors (2728331840).

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

1330141120 is a wasteful number, since it uses less digits than its factorization.

1330141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1330141120 is about 36471.0997914787. The cubic root of 1330141120 is about 1099.7633430280.

Adding to 1330141120 its reverse (211410331), we get a palindrome (1541551451).

The spelling of 1330141120 in words is "one billion, three hundred thirty million, one hundred forty-one thousand, one hundred twenty".