123220113120 has 288 divisors, whose sum is σ = 457324437024. Its totient is φ = 30030336000.

The previous prime is 123220113119. The next prime is 123220113157. The reversal of 123220113120 is 21311022321.

123220113120 is a `hidden beast` number, since 123 + 220 + 11 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×123220113120³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123220113093 and 123220113102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1858135 + ... + 1923305.

It is an arithmetic number, because the mean of its divisors is an integer number (1587932073).

Almost surely, 2^123220113120 is an apocalyptic number.

123220113120 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 123220113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228662218512).

123220113120 is an abundant number, since it is smaller than the sum of its proper divisors (334104323904).

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

123220113120 is a wasteful number, since it uses less digits than its factorization.

123220113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65306 (or 65295 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123220113120 its reverse (21311022321), we get a palindrome (144531135441).

The spelling of 123220113120 in words is "one hundred twenty-three billion, two hundred twenty million, one hundred thirteen thousand, one hundred twenty".