Search a number
-
+
120200112 = 2434163569
BaseRepresentation
bin1110010101000…
…01101110110000
322101011210120000
413022201232300
5221232400422
615532150000
72656453434
oct712415660
9271153500
10120200112
116193913a
1234308300
131bb97036
1411d6c9c4
15a844cac
hex72a1bb0

120200112 has 100 divisors (see below), whose sum is σ = 350643480. Its totient is φ = 39750912.

The previous prime is 120200071. The next prime is 120200123. The reversal of 120200112 is 211002021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120200094 and 120200103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 210964 + ... + 211532.

Almost surely, 2120200112 is an apocalyptic number.

120200112 is a gapful number since it is divisible by the number (12) 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 120200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175321740).

120200112 is an abundant number, since it is smaller than the sum of its proper divisors (230443368).

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

120200112 is a wasteful number, since it uses less digits than its factorization.

120200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120200112 is about 10963.5811667539. The cubic root of 120200112 is about 493.5164396183.

Adding to 120200112 its reverse (211002021), we get a palindrome (331202133).

The spelling of 120200112 in words is "one hundred twenty million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 163 216 324 326 432 489 569 648 652 978 1138 1296 1304 1467 1707 1956 2276 2608 2934 3414 3912 4401 4552 5121 5868 6828 7824 8802 9104 10242 11736 13203 13656 15363 17604 20484 23472 26406 27312 30726 35208 40968 46089 52812 61452 70416 81936 92178 92747 105624 122904 184356 185494 211248 245808 278241 368712 370988 556482 737424 741976 834723 1112964 1483952 1669446 2225928 2504169 3338892 4451856 5008338 6677784 7512507 10016676 13355568 15025014 20033352 30050028 40066704 60100056 120200112