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12160200 = 23352131559
BaseRepresentation
bin101110011000…
…110011001000
3211212210122210
4232120303020
511103111300
61112345120
7205234323
oct56306310
924783583
1012160200
116956158
1240a51a0
132699bb0
1418877ba
151103050
hexb98cc8

12160200 has 96 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 2991360.

The previous prime is 12160199. The next prime is 12160201. The reversal of 12160200 is 206121.

It is an interprime number because it is at equal distance from previous prime (12160199) and next prime (12160201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12160201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7021 + ... + 8579.

It is an arithmetic number, because the mean of its divisors is an integer number (423150).

Almost surely, 212160200 is an apocalyptic number.

12160200 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 12160200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

12160200 is an abundant number, since it is smaller than the sum of its proper divisors (28462200).

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

12160200 is a wasteful number, since it uses less digits than its factorization.

12160200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12160200 is about 3487.1478316814. The cubic root of 12160200 is about 229.9571438739.

Adding to 12160200 its reverse (206121), we get a palindrome (12366321).

The spelling of 12160200 in words is "twelve million, one hundred sixty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1559 1560 1950 2600 3118 3900 4677 6236 7795 7800 9354 12472 15590 18708 20267 23385 31180 37416 38975 40534 46770 60801 62360 77950 81068 93540 101335 116925 121602 155900 162136 187080 202670 233850 243204 304005 311800 405340 467700 486408 506675 608010 810680 935400 1013350 1216020 1520025 2026700 2432040 3040050 4053400 6080100 12160200