10003032120 has 64 divisors (see below), whose sum is σ = 31313848320. Its totient is φ = 2551497344.

The previous prime is 10003032077. The next prime is 10003032131. The reversal of 10003032120 is 2123030001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10003032096 and 10003032105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1809384 + ... + 1814903.

It is an arithmetic number, because the mean of its divisors is an integer number (489278880).

Almost surely, 2^10003032120 is an apocalyptic number.

10003032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003032120 is an abundant number, since it is smaller than the sum of its proper divisors (21310816200).

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

10003032120 is a wasteful number, since it uses less digits than its factorization.

10003032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624324 (or 3624320 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10003032120 its reverse (2123030001), we get a palindrome (12126062121).

The spelling of 10003032120 in words is "ten billion, three million, thirty-two thousand, one hundred twenty".