1323142000 has 80 divisors (see below), whose sum is σ = 3302717184. Its totient is φ = 512160000.

The previous prime is 1323141961. The next prime is 1323142043. The reversal of 1323142000 is 2413231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1323142000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51330 + ... + 72670.

Almost surely, 2^1323142000 is an apocalyptic number.

1323142000 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 1323142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651358592).

1323142000 is an abundant number, since it is smaller than the sum of its proper divisors (1979575184).

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

1323142000 is a wasteful number, since it uses less digits than its factorization.

1323142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21395 (or 21379 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1323142000 is about 36375.0189003387. The cubic root of 1323142000 is about 1097.8309875966.

Adding to 1323142000 its reverse (2413231), we get a palindrome (1325555231).

The spelling of 1323142000 in words is "one billion, three hundred twenty-three million, one hundred forty-two thousand".