1002011120 has 40 divisors (see below), whose sum is σ = 2541466800. Its totient is φ = 364367360.

The previous prime is 1002011119. The next prime is 1002011149. The reversal of 1002011120 is 211102001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1002011098 and 1002011107.

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 7 ways as a sum of consecutive naturals, for example, 568445 + ... + 570204.

It is an arithmetic number, because the mean of its divisors is an integer number (63536670).

Almost surely, 2^1002011120 is an apocalyptic number.

1002011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002011120 is an abundant number, since it is smaller than the sum of its proper divisors (1539455680).

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

1002011120 is a wasteful number, since it uses less digits than its factorization.

1002011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138673 (or 1138667 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1002011120 is about 31654.5592292801. The cubic root of 1002011120 is about 1000.6699244344.

Adding to 1002011120 its reverse (211102001), we get a palindrome (1213113121).

The spelling of 1002011120 in words is "one billion, two million, eleven thousand, one hundred twenty".