1322012000 has 96 divisors (see below), whose sum is σ = 3260930400. Its totient is φ = 526732800.

The previous prime is 1322011993. The next prime is 1322012017. The reversal of 1322012000 is 2102231.

It is a happy number.

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, 1395527 + ... + 1396473.

It is an arithmetic number, because the mean of its divisors is an integer number (33968025).

Almost surely, 2^1322012000 is an apocalyptic number.

1322012000 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 1322012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630465200).

1322012000 is an abundant number, since it is smaller than the sum of its proper divisors (1938918400).

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

1322012000 is an equidigital number, since it uses as much as digits as its factorization.

1322012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1322012000 is about 36359.4829446185. The cubic root of 1322012000 is about 1097.5183725388.

Adding to 1322012000 its reverse (2102231), we get a palindrome (1324114231).

The spelling of 1322012000 in words is "one billion, three hundred twenty-two million, twelve thousand".