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13222333012212 = 223217919174713457
BaseRepresentation
bin1100000001101001000001…
…1101100101100011110100
31201211001011010021210010100
43000122100131211203310
53213113314222342322
644042131140354100
72533165511126232
oct300322035454364
951731133253110
1013222333012212
114238618309585
1215966b06a5930
1374bb25b153cc
14339d701b1952
1517de235b9dac
hexc06907658f4

13222333012212 has 144 divisors (see below), whose sum is σ = 35450607104640. Its totient is φ = 4140989485056.

The previous prime is 13222333012193. The next prime is 13222333012247. The reversal of 13222333012212 is 21221033322231.

13222333012212 is a `hidden beast` number, since 1 + 322 + 2 + 3 + 3 + 301 + 22 + 12 = 666.

It is a super-2 number, since 2×132223330122122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982554988 + ... + 982568444.

It is an arithmetic number, because the mean of its divisors is an integer number (246184771560).

Almost surely, 213222333012212 is an apocalyptic number.

13222333012212 is a gapful number since it is divisible by the number (12) 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 13222333012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17725303552320).

13222333012212 is an abundant number, since it is smaller than the sum of its proper divisors (22228274092428).

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

13222333012212 is a wasteful number, since it uses less digits than its factorization.

13222333012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16150 (or 16145 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13222333012212 its reverse (21221033322231), we get a palindrome (34443366334443).

The spelling of 13222333012212 in words is "thirteen trillion, two hundred twenty-two billion, three hundred thirty-three million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 919 1747 1838 2757 3494 3676 5241 5514 6988 8271 10482 11028 13457 15623 15723 16542 20964 26914 29699 31246 31446 33084 40371 46869 53828 59398 62492 62892 80742 89097 93738 118796 121113 140607 161484 178194 187476 228769 242226 267291 281214 356388 457538 484452 534582 562428 686307 915076 1069164 1372614 1605493 2058921 2745228 3210986 4117842 4816479 6421972 8235684 9632958 12366983 14449437 19265916 23509379 24733966 27293381 28898874 37100949 47018758 49467932 54586762 57797748 70528137 74201898 81880143 94037516 109173524 111302847 141056274 148403796 163760286 210238711 211584411 222605694 245640429 282112548 327520572 399659443 420477422 423168822 445211388 491280858 630716133 799318886 840954844 846337644 982561716 1198978329 1261432266 1598637772 1892148399 2397956658 2522864532 3596934987 3784296798 4795913316 7193869974 7568593596 14387739948 21605119301 43210238602 64815357903 86420477204 129630715806 194446073709 259261431612 367287028117 388892147418 734574056234 777784294836 1101861084351 1469148112468 2203722168702 3305583253053 4407444337404 6611166506106 13222333012212