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12222010122201 = 3311937154328463
BaseRepresentation
bin1011000111011010100010…
…0100100101111111011001
31121021102010220021211211000
42301312220210211333121
53100221134042402301
641554414113255213
72401003542634005
oct261665044457731
947242126254730
1012222010122201
1139923640a5640
12145485a564509
136a86b89960b9
14303796d17705
15162dc8822786
hexb1da8925fd9

12222010122201 has 64 divisors (see below), whose sum is σ = 19787334819840. Its totient is φ = 7394318305920.

The previous prime is 12222010122191. The next prime is 12222010122233. The reversal of 12222010122201 is 10222101022221.

It is a happy number.

12222010122201 is a `hidden beast` number, since 122 + 220 + 1 + 0 + 122 + 201 = 666.

It is not a de Polignac number, because 12222010122201 - 211 = 12222010120153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12222010102201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429385696 + ... + 429414158.

It is an arithmetic number, because the mean of its divisors is an integer number (309177106560).

Almost surely, 212222010122201 is an apocalyptic number.

12222010122201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12222010122201 is a deficient number, since it is larger than the sum of its proper divisors (7565324697639).

12222010122201 is a wasteful number, since it uses less digits than its factorization.

12222010122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30963 (or 30957 counting only the distinct ones).

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

Adding to 12222010122201 its reverse (10222101022221), we get a palindrome (22444111144422).

The spelling of 12222010122201 in words is "twelve trillion, two hundred twenty-two billion, ten million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 11 27 33 99 297 937 1543 2811 4629 8433 10307 13887 16973 25299 28463 30921 41661 50919 85389 92763 152757 256167 278289 313093 458271 768501 939279 1445791 2817837 4337373 8453511 13012119 15903701 26669831 39036357 43918409 47711103 80009493 131755227 143133309 240028479 293368141 395265681 429399927 483102499 720085437 880104423 1185797043 1449307497 2640313269 4347922491 7920939807 13043767473 41151549233 123454647699 370363943097 452667041563 1111091829291 1358001124689 4074003374067 12222010122201