120123120 has 80 divisors (see below), whose sum is σ = 401036832. Its totient is φ = 29568000.

The previous prime is 120123103. The next prime is 120123121. The reversal of 120123120 is 21321021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120123096 and 120123105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120123121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16131 + ... + 22370.

Almost surely, 2^120123120 is an apocalyptic number.

120123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120123120 is an abundant number, since it is smaller than the sum of its proper divisors (280913712).

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

120123120 is a wasteful number, since it uses less digits than its factorization.

120123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38530 (or 38524 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 120123120 is about 10960.0693428463. The cubic root of 120123120 is about 493.4110461132.

Adding to 120123120 its reverse (21321021), we get a palindrome (141444141).

The spelling of 120123120 in words is "one hundred twenty million, one hundred twenty-three thousand, one hundred twenty".