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12210302020 = 2257172476421
BaseRepresentation
bin10110101111100101…
…00110110001000100
31011111221211121111011
423113302212301010
5200001314131040
65335341052004
7611403566110
oct132762466104
934457747434
1012210302020
1151a64406a4
122449257004
1311c78b7ca7
1483b922740
154b6e623ea
hex2d7ca6c44

12210302020 has 144 divisors (see below), whose sum is σ = 31797222912. Its totient is φ = 3855697920.

The previous prime is 12210301997. The next prime is 12210302033. The reversal of 12210302020 is 2020301221.

12210302020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 1898410 + ... + 1904830.

It is an arithmetic number, because the mean of its divisors is an integer number (220814048).

Almost surely, 212210302020 is an apocalyptic number.

12210302020 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 12210302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15898611456).

12210302020 is an abundant number, since it is smaller than the sum of its proper divisors (19586920892).

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

12210302020 is a wasteful number, since it uses less digits than its factorization.

12210302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518 (or 6499 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12210302020 its reverse (2020301221), we get a palindrome (14230603241).

The spelling of 12210302020 in words is "twelve billion, two hundred ten million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 47 68 70 85 94 119 140 170 188 235 238 289 329 340 470 476 578 595 658 799 940 1156 1190 1316 1445 1598 1645 2023 2380 2890 3196 3290 3995 4046 5593 5780 6421 6580 7990 8092 10115 11186 12842 13583 15980 20230 22372 25684 27166 27965 32105 40460 44947 54332 55930 64210 67915 89894 95081 109157 111860 128420 135830 179788 190162 218314 224735 271660 301787 380324 436628 449470 475405 545785 603574 764099 898940 950810 1091570 1207148 1508935 1528198 1855669 1901620 2112509 2183140 3017870 3056396 3711338 3820495 4225018 5130379 6035740 7422676 7640990 8450036 9278345 10260758 10562545 12989683 15281980 18556690 20521516 21125090 25651895 25979366 35912653 37113380 42250180 51303790 51958732 64948415 71825306 87216443 102607580 129896830 143650612 174432886 179563265 259793660 348865772 359126530 436082215 610515101 718253060 872164430 1221030202 1744328860 2442060404 3052575505 6105151010 12210302020