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12020200212222 = 2323770940496287
BaseRepresentation
bin1010111011101010101111…
…0000111000011011111110
31120120010020102100012120200
42232322223300320123332
53033414332223242342
641322000450424330
72350300523666346
oct256725360703376
946503212305520
1012020200212222
113914813721274
1214217188920a6
136926666c7297
142d7ad06ddd26
1515ca1653894c
hexaeeabc386fe

12020200212222 has 96 divisors (see below), whose sum is σ = 26796255408000. Its totient is φ = 3891364291584.

The previous prime is 12020200212169. The next prime is 12020200212277. The reversal of 12020200212222 is 22221200202021.

12020200212222 is a `hidden beast` number, since 12 + 0 + 20 + 200 + 212 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12020200212195 and 12020200212204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1911910363 + ... + 1911916649.

It is an arithmetic number, because the mean of its divisors is an integer number (279127660500).

Almost surely, 212020200212222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020200212222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13398127704000).

12020200212222 is an abundant number, since it is smaller than the sum of its proper divisors (14776055195778).

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

12020200212222 is a wasteful number, since it uses less digits than its factorization.

12020200212222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11090 (or 11087 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12020200212222 its reverse (22221200202021), we get a palindrome (34241400414243).

The spelling of 12020200212222 in words is "twelve trillion, twenty billion, two hundred million, two hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 709 1418 2127 4049 4254 6287 6381 8098 12147 12574 12762 18861 24294 26233 36441 37722 52466 56583 72882 78699 113166 149813 157398 232619 236097 299626 449439 465238 472194 697857 898878 1348317 1395714 2093571 2696634 2870741 4187142 4457483 5741482 8612223 8914966 13372449 17224446 25456063 25836669 26744898 40117347 50912126 51673338 76368189 80234694 106217417 152736378 164926871 212434834 229104567 318652251 329853742 458209134 494780613 637304502 941874331 955956753 989561226 1484341839 1883748662 1911913506 2825622993 2968683678 5651245986 8476868979 16953737958 18048348667 36096697334 54145046001 108290092002 162435138003 324870276006 667788900679 1335577801358 2003366702037 4006733404074 6010100106111 12020200212222