10123123120 has 80 divisors (see below), whose sum is σ = 25705417248. Its totient is φ = 3676907520.

The previous prime is 10123123097. The next prime is 10123123141. The reversal of 10123123120 is 2132132101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10123123094 and 10123123103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818422 + ... + 830698.

Almost surely, 2^10123123120 is an apocalyptic number.

10123123120 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 10123123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852708624).

10123123120 is an abundant number, since it is smaller than the sum of its proper divisors (15582294128).

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

10123123120 is a wasteful number, since it uses less digits than its factorization.

10123123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13238 (or 13232 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10123123120 its reverse (2132132101), we get a palindrome (12255255221).

The spelling of 10123123120 in words is "ten billion, one hundred twenty-three million, one hundred twenty-three thousand, one hundred twenty".