123966120 has 64 divisors (see below), whose sum is σ = 373141440. Its totient is φ = 32947200.

The previous prime is 123966109. The next prime is 123966133. The reversal of 123966120 is 21669321.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 38160 + ... + 41280.

It is an arithmetic number, because the mean of its divisors is an integer number (5830335).

Almost surely, 2^123966120 is an apocalyptic number.

123966120 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 123966120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186570720).

123966120 is an abundant number, since it is smaller than the sum of its proper divisors (249175320).

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

123966120 is a wasteful number, since it uses less digits than its factorization.

123966120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 123966120 is about 11134.0073648260. The cubic root of 123966120 is about 498.6176752115.

The spelling of 123966120 in words is "one hundred twenty-three million, nine hundred sixty-six thousand, one hundred twenty".