10123320120 has 128 divisors (see below), whose sum is σ = 31016908800. Its totient is φ = 2642292224.

The previous prime is 10123320113. The next prime is 10123320121. The reversal of 10123320120 is 2102332101.

It is a super-2 number, since 2×10123320120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10123320120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123320121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3044779 + ... + 3048101.

It is an arithmetic number, because the mean of its divisors is an integer number (242319600).

Almost surely, 2^10123320120 is an apocalyptic number.

10123320120 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 10123320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508454400).

10123320120 is an abundant number, since it is smaller than the sum of its proper divisors (20893588680).

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

10123320120 is a wasteful number, since it uses less digits than its factorization.

10123320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10123320120 its reverse (2102332101), we get a palindrome (12225652221).

The spelling of 10123320120 in words is "ten billion, one hundred twenty-three million, three hundred twenty thousand, one hundred twenty".