168000120 has 192 divisors, whose sum is σ = 586141920. Its totient is φ = 41582592.

The previous prime is 168000101. The next prime is 168000121. The reversal of 168000120 is 21000861.

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

It is a junction number, because it is equal to n+sod(n) for n = 168000093 and 168000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168000121) 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 47 ways as a sum of consecutive naturals, for example, 593499 + ... + 593781.

Almost surely, 2^168000120 is an apocalyptic number.

168000120 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 168000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293070960).

168000120 is an abundant number, since it is smaller than the sum of its proper divisors (418141800).

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

168000120 is a wasteful number, since it uses less digits than its factorization.

168000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 168000120 is about 12961.4860259154. The cubic root of 168000120 is about 551.7849666535.

Adding to 168000120 its reverse (21000861), we get a palindrome (189000981).

The spelling of 168000120 in words is "one hundred sixty-eight million, one hundred twenty", and thus it is an aban number.