1002121120 has 192 divisors, whose sum is σ = 3179264256. Its totient is φ = 288276480.

The previous prime is 1002121111. The next prime is 1002121157. The reversal of 1002121120 is 211212001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1002121097 and 1002121106.

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 31 ways as a sum of consecutive naturals, for example, 157032 + ... + 163288.

It is an arithmetic number, because the mean of its divisors is an integer number (16558668).

Almost surely, 2^1002121120 is an apocalyptic number.

1002121120 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 1002121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589632128).

1002121120 is an abundant number, since it is smaller than the sum of its proper divisors (2177143136).

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

1002121120 is a wasteful number, since it uses less digits than its factorization.

1002121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1002121120 is about 31656.2966880209. The cubic root of 1002121120 is about 1000.7065406827.

Adding to 1002121120 its reverse (211212001), we get a palindrome (1213333121).

The spelling of 1002121120 in words is "one billion, two million, one hundred twenty-one thousand, one hundred twenty".