1326912000 has 160 divisors (see below), whose sum is σ = 4412289024. Its totient is φ = 353792000.

The previous prime is 1326911981. The next prime is 1326912001. The reversal of 1326912000 is 2196231.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1326912001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 188545 + ... + 195455.

Almost surely, 2^1326912000 is an apocalyptic number.

1326912000 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 1326912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206144512).

1326912000 is an abundant number, since it is smaller than the sum of its proper divisors (3085377024).

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

1326912000 is an frugal number, since it uses more digits than its factorization.

1326912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1326912000 is about 36426.8033184357. The cubic root of 1326912000 is about 1098.8726742655.

The spelling of 1326912000 in words is "one billion, three hundred twenty-six million, nine hundred twelve thousand".