10120003312 has 40 divisors (see below), whose sum is σ = 20562969600. Its totient is φ = 4815645120.

The previous prime is 10120003301. The next prime is 10120003331. The reversal of 10120003312 is 21330002101.

It is a junction number, because it is equal to n+sod(n) for n = 10120003292 and 10120003301.

It is a congruent number.

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, 4137 + ... + 142327.

It is an arithmetic number, because the mean of its divisors is an integer number (514074240).

Almost surely, 2^10120003312 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 10120003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281484800).

10120003312 is an abundant number, since it is smaller than the sum of its proper divisors (10442966288).

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

10120003312 is a wasteful number, since it uses less digits than its factorization.

10120003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138421 (or 138415 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10120003312 its reverse (21330002101), we get a palindrome (31450005413).

The spelling of 10120003312 in words is "ten billion, one hundred twenty million, three thousand, three hundred twelve".