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12120120200 = 23522272391117
BaseRepresentation
bin10110100100110101…
…00101101110001000
31011021200010220021202
423102122211232020
5144310222321300
65322400123332
7606230215256
oct132232455610
934250126252
1012120120200
11515a545771
122423006548
1311b2001376
1482d9695d6
154ae09bad5
hex2d26a5b88

12120120200 has 96 divisors (see below), whose sum is σ = 28447286400. Its totient is φ = 4802192640.

The previous prime is 12120120169. The next prime is 12120120263. The reversal of 12120120200 is 202102121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10850042 + ... + 10851158.

It is an arithmetic number, because the mean of its divisors is an integer number (296325900).

Almost surely, 212120120200 is an apocalyptic number.

12120120200 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 12120120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14223643200).

12120120200 is an abundant number, since it is smaller than the sum of its proper divisors (16327166200).

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

12120120200 is a wasteful number, since it uses less digits than its factorization.

12120120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12120120200 its reverse (202102121), we get a palindrome (12322222321).

The spelling of 12120120200 in words is "twelve billion, one hundred twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 227 239 454 478 908 956 1117 1135 1195 1816 1912 2234 2270 2390 4468 4540 4780 5585 5675 5975 8936 9080 9560 11170 11350 11950 22340 22700 23900 27925 44680 45400 47800 54253 55850 108506 111700 217012 223400 253559 266963 271265 434024 507118 533926 542530 1014236 1067852 1085060 1267795 1334815 1356325 2028472 2135704 2170120 2535590 2669630 2712650 5071180 5339260 5425300 6338975 6674075 10142360 10678520 10850600 12677950 13348150 25355900 26696300 50711800 53392600 60600601 121201202 242402404 303003005 484804808 606006010 1212012020 1515015025 2424024040 3030030050 6060060100 12120120200