123006240 has 144 divisors (see below), whose sum is σ = 479763648. Its totient is φ = 28113408.

The previous prime is 123006227. The next prime is 123006259. The reversal of 123006240 is 42600321.

It is a happy number.

123006240 is a `hidden beast` number, since 12 + 30 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3979 + ... + 16181.

It is an arithmetic number, because the mean of its divisors is an integer number (3331692).

Almost surely, 2^123006240 is an apocalyptic number.

123006240 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 123006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239881824).

123006240 is an abundant number, since it is smaller than the sum of its proper divisors (356757408).

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

123006240 is a wasteful number, since it uses less digits than its factorization.

123006240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12231 (or 12220 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123006240 is about 11090.8178237676. The cubic root of 123006240 is about 497.3273931317.

Adding to 123006240 its reverse (42600321), we get a palindrome (165606561).

The spelling of 123006240 in words is "one hundred twenty-three million, six thousand, two hundred forty".