1321103012000 has 96 divisors (see below), whose sum is σ = 3257031317904. Its totient is φ = 526637184000.

The previous prime is 1321103011931. The next prime is 1321103012029. The reversal of 1321103012000 is 2103011231.

It can be written as a sum of positive squares in 8 ways, for example, as 90343527184 + 1230759484816 = 300572^2 + 1109396^2 .

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, 608390 + ... + 1735610.

Almost surely, 2^{1321103012000} is an apocalyptic number.

1321103012000 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 1321103012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628515658952).

1321103012000 is an abundant number, since it is smaller than the sum of its proper divisors (1935928305904).

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

1321103012000 is a wasteful number, since it uses less digits than its factorization.

1321103012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127539 (or 1127521 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1321103012000 its reverse (2103011231), we get a palindrome (1323206023231).

The spelling of 1321103012000 in words is "one trillion, three hundred twenty-one billion, one hundred three million, twelve thousand".