123345120 has 96 divisors (see below), whose sum is σ = 401980320. Its totient is φ = 31754240.

The previous prime is 123345119. The next prime is 123345127. The reversal of 123345120 is 21543321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123345127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9490 + ... + 18350.

It is an arithmetic number, because the mean of its divisors is an integer number (4187295).

Almost surely, 2^123345120 is an apocalyptic number.

123345120 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 123345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200990160).

123345120 is an abundant number, since it is smaller than the sum of its proper divisors (278635200).

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

123345120 is a wasteful number, since it uses less digits than its factorization.

123345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8908 (or 8900 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 123345120 is about 11106.0848186929. The cubic root of 123345120 is about 497.7836837333.

Adding to 123345120 its reverse (21543321), we get a palindrome (144888441).

The spelling of 123345120 in words is "one hundred twenty-three million, three hundred forty-five thousand, one hundred twenty".