13123112123120 has 160 divisors (see below), whose sum is σ = 31711956019200. Its totient is φ = 5045061288960.

The previous prime is 13123112123087. The next prime is 13123112123129. The reversal of 13123112123120 is 2132121132131.

It is a happy number.

It is a super-2 number, since 2×13123112123120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123112123129) 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, 406284731 + ... + 406317029.

It is an arithmetic number, because the mean of its divisors is an integer number (198199725120).

Almost surely, 2^{13123112123120} is an apocalyptic number.

13123112123120 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 13123112123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855978009600).

13123112123120 is an abundant number, since it is smaller than the sum of its proper divisors (18588843896080).

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

13123112123120 is a wasteful number, since it uses less digits than its factorization.

13123112123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33463 (or 33457 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 13123112123120 its reverse (2132121132131), we get a palindrome (15255233255251).

The spelling of 13123112123120 in words is "thirteen trillion, one hundred twenty-three billion, one hundred twelve million, one hundred twenty-three thousand, one hundred twenty".