1002121984 has 72 divisors (see below), whose sum is σ = 2126945520. Its totient is φ = 469598208.

The previous prime is 1002121963. The next prime is 1002122047. The reversal of 1002121984 is 4891212001.

1002121984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1779687 + ... + 1780249.

It is an arithmetic number, because the mean of its divisors is an integer number (29540910).

Almost surely, 2^1002121984 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 1002121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063472760).

1002121984 is an abundant number, since it is smaller than the sum of its proper divisors (1124823536).

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

1002121984 is an equidigital number, since it uses as much as digits as its factorization.

1002121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1002121984 is about 31656.3103345921. The cubic root of 1002121984 is about 1000.7068282761.

Adding to 1002121984 its reverse (4891212001), we get a palindrome (5893333985).

The spelling of 1002121984 in words is "one billion, two million, one hundred twenty-one thousand, nine hundred eighty-four".