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120096112 = 24191792207
BaseRepresentation
bin1110010100010…
…00010101110000
322100222111220011
413022020111300
5221221033422
615530024304
72655541303
oct712102560
9270874804
10120096112
1161877a94
1234278094
131bb5b8b6
1411d42b3a
15a824077
hex7288570

120096112 has 40 divisors (see below), whose sum is σ = 246412800. Its totient is φ = 56544192.

The previous prime is 120096079. The next prime is 120096121. The reversal of 120096112 is 211690021.

It is a super-2 number, since 2×1200961122 = 28846152235033088, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 53313 + ... + 55519.

It is an arithmetic number, because the mean of its divisors is an integer number (6160320).

Almost surely, 2120096112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120096112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123206400).

120096112 is an abundant number, since it is smaller than the sum of its proper divisors (126316688).

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

120096112 is a wasteful number, since it uses less digits than its factorization.

120096112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 120096112 is about 10958.8371645900. The cubic root of 120096112 is about 493.3740644887.

The spelling of 120096112 in words is "one hundred twenty million, ninety-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 179 304 358 716 1432 2207 2864 3401 4414 6802 8828 13604 17656 27208 35312 41933 54416 83866 167732 335464 395053 670928 790106 1580212 3160424 6320848 7506007 15012014 30024028 60048056 120096112