123642120 has 256 divisors, whose sum is σ = 457113600. Its totient is φ = 26127360.

The previous prime is 123642097. The next prime is 123642151. The reversal of 123642120 is 21246321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 973497 + ... + 973623.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 2^123642120 is an apocalyptic number.

123642120 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 123642120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228556800).

123642120 is an abundant number, since it is smaller than the sum of its proper divisors (333471480).

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

123642120 is a wasteful number, since it uses less digits than its factorization.

123642120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 123642120 is about 11119.4478280174. The cubic root of 123642120 is about 498.1828976109.

Adding to 123642120 its reverse (21246321), we get a palindrome (144888441).

The spelling of 123642120 in words is "one hundred twenty-three million, six hundred forty-two thousand, one hundred twenty".