1329112512 has 168 divisors, whose sum is σ = 4688998496. Its totient is φ = 350521344.

The previous prime is 1329112493. The next prime is 1329112553. The reversal of 1329112512 is 2152119231.

1329112512 is a `hidden beast` number, since 1 + 32 + 9 + 112 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

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, 39738 + ... + 65094.

Almost surely, 2^1329112512 is an apocalyptic number.

1329112512 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 1329112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344499248).

1329112512 is an abundant number, since it is smaller than the sum of its proper divisors (3359885984).

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

1329112512 is a wasteful number, since it uses less digits than its factorization.

1329112512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25395 (or 25382 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 1329112512 is about 36456.9953781164. The cubic root of 1329112512 is about 1099.4797848712.

The spelling of 1329112512 in words is "one billion, three hundred twenty-nine million, one hundred twelve thousand, five hundred twelve".