1321120768 has 88 divisors (see below), whose sum is σ = 3033162720. Its totient is φ = 568811520.

The previous prime is 1321120751. The next prime is 1321120793. The reversal of 1321120768 is 8670211231.

It is a tau number, because it is divible by the number of its divisors (88).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210930 + ... + 217102.

Almost surely, 2^1321120768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516581360).

1321120768 is an abundant number, since it is smaller than the sum of its proper divisors (1712041952).

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

1321120768 is a wasteful number, since it uses less digits than its factorization.

1321120768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6223 (or 6205 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 1321120768 is about 36347.2250385088. The cubic root of 1321120768 is about 1097.2716870874.

Adding to 1321120768 its reverse (8670211231), we get a palindrome (9991331999).

The spelling of 1321120768 in words is "one billion, three hundred twenty-one million, one hundred twenty thousand, seven hundred sixty-eight".