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12221212002012 = 22331361311419763
BaseRepresentation
bin1011000111010111100100…
…0000000000011011011100
31121021100002021111010202000
42301311321000000123130
53100213020233031022
641554203003002300
72400645012006666
oct261657100003334
947240067433660
1012221212002012
113991a94629082
121454677209390
136a85bc520a30
1430371cd1b536
15162d7d71c6ac
hexb1d790006dc

12221212002012 has 96 divisors (see below), whose sum is σ = 34127491964160. Its totient is φ = 3759756937920.

The previous prime is 12221212002011. The next prime is 12221212002017. The reversal of 12221212002012 is 21020021212221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221212002011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7898043 + ... + 9317805.

It is an arithmetic number, because the mean of its divisors is an integer number (355494707960).

Almost surely, 212221212002012 is an apocalyptic number.

12221212002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12221212002012 is an abundant number, since it is smaller than the sum of its proper divisors (21906279962148).

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

12221212002012 is a wasteful number, since it uses less digits than its factorization.

12221212002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425920 (or 1425912 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12221212002012 its reverse (21020021212221), we get a palindrome (33241233214233).

The spelling of 12221212002012 in words is "twelve trillion, two hundred twenty-one billion, two hundred twelve million, two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 6131 12262 18393 24524 36786 55179 73572 79703 110358 159406 165537 220716 239109 318812 331074 478218 662148 717327 956436 1419763 1434654 2151981 2839526 2869308 4259289 4303962 5679052 8518578 8607924 12777867 17037156 18456919 25555734 36913838 38333601 51111468 55370757 73827676 76667202 110741514 153334404 166112271 221483028 332224542 498336813 664449084 996673626 1993347252 8704566953 17409133906 26113700859 34818267812 52227401718 78341102577 104454803436 113159370389 156682205154 226318740778 235023307731 313364410308 339478111167 452637481556 470046615462 678956222334 940093230924 1018434333501 1357912444668 2036868667002 3055303000503 4073737334004 6110606001006 12221212002012