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12210122302230 = 2354143263387679
BaseRepresentation
bin1011000110101110010000…
…0000001010001100010110
31121020021110102021000112110
42301223210000022030112
53100022312302132410
641545130332131450
72400103133061516
oct261534400121426
947207412230473
1012210122302230
1139883137a4536
1214524a1306b86
136a7542b4acb8
14302d8a17b846
1516292ed60720
hexb1ae400a316

12210122302230 has 128 divisors (see below), whose sum is σ = 30729166110720. Its totient is φ = 3101528586240.

The previous prime is 12210122302219. The next prime is 12210122302289. The reversal of 12210122302230 is 3220322101221.

It is a junction number, because it is equal to n+sod(n) for n = 12210122302197 and 12210122302206.

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 63 ways as a sum of consecutive naturals, for example, 139215531 + ... + 139303209.

It is an arithmetic number, because the mean of its divisors is an integer number (240071610240).

Almost surely, 212210122302230 is an apocalyptic number.

12210122302230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210122302230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364583055360).

12210122302230 is an abundant number, since it is smaller than the sum of its proper divisors (18519043808490).

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

12210122302230 is a wasteful number, since it uses less digits than its factorization.

12210122302230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90406.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12210122302230 its reverse (3220322101221), we get a palindrome (15430444403451).

The spelling of 12210122302230 in words is "twelve trillion, two hundred ten billion, one hundred twenty-two million, three hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 43 82 86 123 129 205 215 246 258 410 430 615 645 1230 1290 1763 2633 3526 5266 5289 7899 8815 10578 13165 15798 17630 26330 26445 39495 52890 78990 87679 107953 113219 175358 215906 226438 263037 323859 339657 438395 526074 539765 566095 647718 679314 876790 1079530 1132190 1315185 1619295 1698285 2630370 3238590 3396570 3594839 3770197 4641979 7189678 7540394 9283958 10784517 11310591 13925937 17974195 18850985 21569034 22621182 23209895 27851874 35948390 37701970 46419790 53922585 56552955 69629685 107845170 113105910 139259370 154578077 230858807 309156154 461717614 463734231 692576421 772890385 927468462 1154294035 1385152842 1545780770 2308588070 2318671155 3462882105 4637342310 6925764210 9465211087 9926928701 18930422174 19853857402 28395633261 29780786103 47326055435 49634643505 56791266522 59561572206 94652110870 99269287010 141978166305 148903930515 283956332610 297807861030 407004076741 814008153482 1221012230223 2035020383705 2442024460446 4070040767410 6105061151115 12210122302230