1322331000012 has 288 divisors, whose sum is σ = 3786758976000. Its totient is φ = 388759409280.

The previous prime is 1322330999993. The next prime is 1322331000059. The reversal of 1322331000012 is 2100001332231.

1322331000012 is a `hidden beast` number, since 1 + 322 + 331 + 0 + 0 + 0 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 778298739 + ... + 778300437.

Almost surely, 2^{1322331000012} is an apocalyptic number.

1322331000012 is a gapful number since it is divisible by the number (12) 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 1322331000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893379488000).

1322331000012 is an abundant number, since it is smaller than the sum of its proper divisors (2464427975988).

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

1322331000012 is a wasteful number, since it uses less digits than its factorization.

1322331000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1322331000012 its reverse (2100001332231), we get a palindrome (3422332332243).

The spelling of 1322331000012 in words is "one trillion, three hundred twenty-two billion, three hundred thirty-one million, twelve", and thus it is an aban number.