1321412000 has 96 divisors (see below), whose sum is σ = 3417785280. Its totient is φ = 500716800.

The previous prime is 1321411997. The next prime is 1321412011. The reversal of 1321412000 is 2141231.

It is a super-2 number, since 2×1321412000² = 3492259347488000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67307 + ... + 84693.

It is an arithmetic number, because the mean of its divisors is an integer number (35601930).

Almost surely, 2^1321412000 is an apocalyptic number.

1321412000 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 1321412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708892640).

1321412000 is an abundant number, since it is smaller than the sum of its proper divisors (2096373280).

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

1321412000 is a wasteful number, since it uses less digits than its factorization.

1321412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17431 (or 17413 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1321412000 is about 36351.2310658112. The cubic root of 1321412000 is about 1097.3523098326.

Adding to 1321412000 its reverse (2141231), we get a palindrome (1323553231).

The spelling of 1321412000 in words is "one billion, three hundred twenty-one million, four hundred twelve thousand".