10412210120 has 64 divisors (see below), whose sum is σ = 25422344640. Its totient is φ = 3815136000.

The previous prime is 10412210119. The next prime is 10412210129. The reversal of 10412210120 is 2101221401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10412210095 and 10412210104.

It is not an unprimeable number, because it can be changed into a prime (10412210129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8306 + ... + 144545.

It is an arithmetic number, because the mean of its divisors is an integer number (397224135).

Almost surely, 2^10412210120 is an apocalyptic number.

10412210120 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 10412210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12711172320).

10412210120 is an abundant number, since it is smaller than the sum of its proper divisors (15010134520).

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

10412210120 is a wasteful number, since it uses less digits than its factorization.

10412210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153006 (or 153002 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10412210120 its reverse (2101221401), we get a palindrome (12513431521).

The spelling of 10412210120 in words is "ten billion, four hundred twelve million, two hundred ten thousand, one hundred twenty".