123066720 has 288 divisors, whose sum is σ = 497689920. Its totient is φ = 27095040.

The previous prime is 123066719. The next prime is 123066751. The reversal of 123066720 is 27660321.

It is a happy number.

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

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, 292110 + ... + 292530.

It is an arithmetic number, because the mean of its divisors is an integer number (1728090).

Almost surely, 2^123066720 is an apocalyptic number.

123066720 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 123066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248844960).

123066720 is an abundant number, since it is smaller than the sum of its proper divisors (374623200).

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

123066720 is a wasteful number, since it uses less digits than its factorization.

123066720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 123066720 is about 11093.5440685112. The cubic root of 123066720 is about 497.4088888141.

The spelling of 123066720 in words is "one hundred twenty-three million, sixty-six thousand, seven hundred twenty".