10002312120 has 256 divisors, whose sum is σ = 32711616000. Its totient is φ = 2438055936.

The previous prime is 10002312119. The next prime is 10002312121. The reversal of 10002312120 is 2121320001.

10002312120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10002312119) and next prime (10002312121).

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 = 10002312096 and 10002312105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002312121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11725614 + ... + 11726466.

It is an arithmetic number, because the mean of its divisors is an integer number (127779750).

Almost surely, 2^10002312120 is an apocalyptic number.

10002312120 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 10002312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16355808000).

10002312120 is an abundant number, since it is smaller than the sum of its proper divisors (22709303880).

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

10002312120 is a wasteful number, since it uses less digits than its factorization.

10002312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10002312120 its reverse (2121320001), we get a palindrome (12123632121).

The spelling of 10002312120 in words is "ten billion, two million, three hundred twelve thousand, one hundred twenty".