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12100220120 = 2354153731907
BaseRepresentation
bin10110100010011101…
…01011010011011000
31011020021200212111202
423101032223103120
5144240124020440
65320405413332
7605566113452
oct132116532330
934207625452
1012100220120
11514a29351a
12241840a248
1311aab54581
1482b0692d2
154ac46a615
hex2d13ab4d8

12100220120 has 128 divisors (see below), whose sum is σ = 28820111040. Its totient is φ = 4567080960.

The previous prime is 12100220117. The next prime is 12100220131. The reversal of 12100220120 is 2102200121.

It is a happy number.

12100220120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6344207 + ... + 6346113.

Almost surely, 212100220120 is an apocalyptic number.

12100220120 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 12100220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14410055520).

12100220120 is an abundant number, since it is smaller than the sum of its proper divisors (16719890920).

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

12100220120 is a wasteful number, since it uses less digits than its factorization.

12100220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2081 counting only the distinct ones).

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

Adding to 12100220120 its reverse (2102200121), we get a palindrome (14202420241).

The spelling of 12100220120 in words is "twelve billion, one hundred million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 53 73 82 106 146 164 205 212 265 292 328 365 410 424 530 584 730 820 1060 1460 1640 1907 2120 2173 2920 2993 3814 3869 4346 5986 7628 7738 8692 9535 10865 11972 14965 15256 15476 17384 19070 19345 21730 23944 29930 30952 38140 38690 43460 59860 76280 77380 78187 86920 101071 119720 139211 154760 156374 158629 202142 278422 312748 317258 390935 404284 505355 556844 625496 634516 696055 781870 793145 808568 1010710 1113688 1269032 1392110 1563740 1586290 2021420 2784220 3127480 3172580 4042840 4143911 5568440 5707651 6345160 7378183 8287822 11415302 14756366 16575644 20719555 22830604 28538255 29512732 33151288 36890915 41439110 45661208 57076510 59025464 73781830 82878220 114153020 147563660 165756440 228306040 295127320 302505503 605011006 1210022012 1512527515 2420044024 3025055030 6050110060 12100220120