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120112000 = 27537507
BaseRepresentation
bin1110010100011…
…00001110000000
322101000022200121
413022030032000
5221222041000
615530230024
72655635521
oct712141600
9271008617
10120112000
1161888a18
1234285314
131bb65bb8
1411d48848
15a828b1a
hex728c380

120112000 has 64 divisors (see below), whose sum is σ = 298668240. Its totient is φ = 48038400.

The previous prime is 120111983. The next prime is 120112009. The reversal of 120112000 is 211021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12247 + ... + 19753.

Almost surely, 2120112000 is an apocalyptic number.

120112000 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 120112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149334120).

120112000 is an abundant number, since it is smaller than the sum of its proper divisors (178556240).

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

120112000 is an frugal number, since it uses more digits than its factorization.

120112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7536 (or 7514 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 120112000 is about 10959.5620350450. The cubic root of 120112000 is about 493.3958203456.

Adding to 120112000 its reverse (211021), we get a palindrome (120323021).

The spelling of 120112000 in words is "one hundred twenty million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 7507 8000 15014 16000 30028 37535 60056 75070 120112 150140 187675 240224 300280 375350 480448 600560 750700 938375 960896 1201120 1501400 1876750 2402240 3002800 3753500 4804480 6005600 7507000 12011200 15014000 24022400 30028000 60056000 120112000