1329881112 has 128 divisors (see below), whose sum is σ = 4273113600. Its totient is φ = 375352704.

The previous prime is 1329881107. The next prime is 1329881123. The reversal of 1329881112 is 2111889231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120198 + ... + 130794.

It is an arithmetic number, because the mean of its divisors is an integer number (33383700).

Almost surely, 2^1329881112 is an apocalyptic number.

1329881112 is a gapful number since it is divisible by the number (12) 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 1329881112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136556800).

1329881112 is an abundant number, since it is smaller than the sum of its proper divisors (2943232488).

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

1329881112 is a wasteful number, since it uses less digits than its factorization.

1329881112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10702 (or 10692 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 1329881112 is about 36467.5350414585. The cubic root of 1329881112 is about 1099.6916799800.

The spelling of 1329881112 in words is "one billion, three hundred twenty-nine million, eight hundred eighty-one thousand, one hundred twelve".