1023121280 has 128 divisors (see below), whose sum is σ = 2527070400. Its totient is φ = 395919360.

The previous prime is 1023121279. The next prime is 1023121313. The reversal of 1023121280 is 821213201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 2849741 + ... + 2850099.

Almost surely, 2^1023121280 is an apocalyptic number.

1023121280 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 1023121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263535200).

1023121280 is an abundant number, since it is smaller than the sum of its proper divisors (1503949120).

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

1023121280 is an equidigital number, since it uses as much as digits as its factorization.

1023121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1023121280 is about 31986.2670532214. The cubic root of 1023121280 is about 1007.6484454737.

Adding to 1023121280 its reverse (821213201), we get a palindrome (1844334481).

The spelling of 1023121280 in words is "one billion, twenty-three million, one hundred twenty-one thousand, two hundred eighty".