1321130112000 has 704 divisors, whose sum is σ = 4673794245120. Its totient is φ = 330104832000.

The previous prime is 1321130111981. The next prime is 1321130112037. The reversal of 1321130112000 is 2110311231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2865791770 + ... + 2865792230.

It is an arithmetic number, because the mean of its divisors is an integer number (6638912280).

Almost surely, 2^{1321130112000} is an apocalyptic number.

1321130112000 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 1321130112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336897122560).

1321130112000 is an abundant number, since it is smaller than the sum of its proper divisors (3352664133120).

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

1321130112000 is a wasteful number, since it uses less digits than its factorization.

1321130112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1321130112000 its reverse (2110311231), we get a palindrome (1323240423231).

The spelling of 1321130112000 in words is "one trillion, three hundred twenty-one billion, one hundred thirty million, one hundred twelve thousand".