123006720 has 144 divisors (see below), whose sum is σ = 397942272. Its totient is φ = 32378880.

The previous prime is 123006701. The next prime is 123006727. The reversal of 123006720 is 27600321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123006727) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 395365 + ... + 395675.

It is an arithmetic number, because the mean of its divisors is an integer number (2763488).

Almost surely, 2^123006720 is an apocalyptic number.

123006720 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 123006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198971136).

123006720 is an abundant number, since it is smaller than the sum of its proper divisors (274935552).

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

123006720 is a wasteful number, since it uses less digits than its factorization.

123006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 123006720 is about 11090.8394632688. The cubic root of 123006720 is about 497.3280400280.

The spelling of 123006720 in words is "one hundred twenty-three million, six thousand, seven hundred twenty".