1320312121000 has 64 divisors (see below), whose sum is σ = 3140178546960. Its totient is φ = 519467040000.

The previous prime is 1320312120979. The next prime is 1320312121001. The reversal of 1320312121000 is 1212130231.

It can be written as a sum of positive squares in 8 ways, for example, as 221383424196 + 1098928696804 = 470514^2 + 1048298^2 .

It is not an unprimeable number, because it can be changed into a prime (1320312121001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10761231 + ... + 10883230.

Almost surely, 2^{1320312121000} is an apocalyptic number.

1320312121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320312121000 is an abundant number, since it is smaller than the sum of its proper divisors (1819866425960).

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

1320312121000 is a wasteful number, since it uses less digits than its factorization.

1320312121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21644543 (or 21644529 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1320312121000 its reverse (1212130231), we get a palindrome (1321524251231).

The spelling of 1320312121000 in words is "one trillion, three hundred twenty billion, three hundred twelve million, one hundred twenty-one thousand".