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120117000 = 2335340039
BaseRepresentation
bin1110010100011…
…01011100001000
322101000120112210
413022031130020
5221222221000
615530305120
72655656223
oct712153410
9271016483
10120117000
1161891753
12342881a0
131bb68263
1411d4a5ba
15a82a350
hex728d708

120117000 has 64 divisors (see below), whose sum is σ = 374774400. Its totient is φ = 32030400.

The previous prime is 120116999. The next prime is 120117013. The reversal of 120117000 is 711021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17020 + ... + 23019.

It is an arithmetic number, because the mean of its divisors is an integer number (5855850).

Almost surely, 2120117000 is an apocalyptic number.

120117000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120117000 is an abundant number, since it is smaller than the sum of its proper divisors (254657400).

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

120117000 is a wasteful number, since it uses less digits than its factorization.

120117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40063 (or 40049 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 120117000 is about 10959.7901439763. The cubic root of 120117000 is about 493.4026665804.

Adding to 120117000 its reverse (711021), we get a palindrome (120828021).

The spelling of 120117000 in words is "one hundred twenty million, one hundred seventeen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 40039 80078 120117 160156 200195 240234 320312 400390 480468 600585 800780 960936 1000975 1201170 1601560 2001950 2402340 3002925 4003900 4804680 5004875 6005850 8007800 10009750 12011700 15014625 20019500 24023400 30029250 40039000 60058500 120117000