1332208000 has 128 divisors (see below), whose sum is σ = 3376844640. Its totient is φ = 522496000.

The previous prime is 1332207979. The next prime is 1332208019. The reversal of 1332208000 is 8022331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847215 + ... + 848785.

Almost surely, 2^1332208000 is an apocalyptic number.

1332208000 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 1332208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688422320).

1332208000 is an abundant number, since it is smaller than the sum of its proper divisors (2044636640).

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

1332208000 is an equidigital number, since it uses as much as digits as its factorization.

1332208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1332208000 is about 36499.4246529997. The cubic root of 1332208000 is about 1100.3326817434.

The spelling of 1332208000 in words is "one billion, three hundred thirty-two million, two hundred eight thousand".