1332312000 has 224 divisors, whose sum is σ = 4505090304. Its totient is φ = 346752000.

The previous prime is 1332311983. The next prime is 1332312001. The reversal of 1332312000 is 2132331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1031355 + ... + 1032645.

Almost surely, 2^1332312000 is an apocalyptic number.

1332312000 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 1332312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252545152).

1332312000 is an abundant number, since it is smaller than the sum of its proper divisors (3172778304).

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

1332312000 is a wasteful number, since it uses less digits than its factorization.

1332312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1332312000 is about 36500.8493051874. The cubic root of 1332312000 is about 1100.3613138142.

Adding to 1332312000 its reverse (2132331), we get a palindrome (1334444331).

The spelling of 1332312000 in words is "one billion, three hundred thirty-two million, three hundred twelve thousand".