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120112120 = 2357142293
BaseRepresentation
bin1110010100011…
…00001111111000
322101000022212001
413022030033320
5221222041440
615530230344
72655636052
oct712141770
9271008761
10120112120
1161889017
12342853b4
131bb65c7b
1411d488d2
15a828b9a
hex728c3f8

120112120 has 32 divisors (see below), whose sum is σ = 274065120. Its totient is φ = 47367040.

The previous prime is 120112087. The next prime is 120112121. The reversal of 120112120 is 21211021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120112097 and 120112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112121) 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, 18307 + ... + 23986.

It is an arithmetic number, because the mean of its divisors is an integer number (8564535).

Almost surely, 2120112120 is an apocalyptic number.

120112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120112120 is an abundant number, since it is smaller than the sum of its proper divisors (153953000).

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

120112120 is a wasteful number, since it uses less digits than its factorization.

120112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42375 (or 42371 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 120112120 is about 10959.5675097150. The cubic root of 120112120 is about 493.3959846574.

Adding to 120112120 its reverse (21211021), we get a palindrome (141323141).

The spelling of 120112120 in words is "one hundred twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 42293 84586 169172 211465 338344 422930 845860 1691720 3002803 6005606 12011212 15014015 24022424 30028030 60056060 120112120