123020013120 has 224 divisors, whose sum is σ = 426906878976. Its totient is φ = 29879500800.

The previous prime is 123020013049. The next prime is 123020013157. The reversal of 123020013120 is 21310020321.

123020013120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 123020013120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384340 + ... + 627500.

Almost surely, 2^123020013120 is an apocalyptic number.

123020013120 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 123020013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213453439488).

123020013120 is an abundant number, since it is smaller than the sum of its proper divisors (303886865856).

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

123020013120 is a wasteful number, since it uses less digits than its factorization.

123020013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243229 (or 243219 counting only the distinct ones).

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

Adding to 123020013120 its reverse (21310020321), we get a palindrome (144330033441).

The spelling of 123020013120 in words is "one hundred twenty-three billion, twenty million, thirteen thousand, one hundred twenty".