120170000 has 100 divisors (see below), whose sum is σ = 297214236. Its totient is φ = 47040000.

The previous prime is 120169979. The next prime is 120170021. The reversal of 120170000 is 71021.

It is an interprime number because it is at equal distance from previous prime (120169979) and next prime (120170021).

It can be written as a sum of positive squares in 10 ways, for example, as 90402064 + 29767936 = 9508^2 + 5456^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 609902 + ... + 610098.

Almost surely, 2^120170000 is an apocalyptic number.

120170000 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 120170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148607118).

120170000 is an abundant number, since it is smaller than the sum of its proper divisors (177044236).

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

120170000 is an equidigital number, since it uses as much as digits as its factorization.

120170000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 120170000 is about 10962.2078068243. The cubic root of 120170000 is about 493.4752249918.

The spelling of 120170000 in words is "one hundred twenty million, one hundred seventy thousand".