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212220000112212 = 223310365329215421
BaseRepresentation
bin110000010000001101010001…
…101110001000111001010100
31000211102000220200201211001000
4300100031101232020321110
5210304003030012042322
62031204304441303300
762462250303406221
oct6020152156107124
91024360820654030
10212220000112212
116168aaa6554704
121b9757a8794b30
13915534c6b4651
143a597079d8948
1519804e11c33ac
hexc10351b88e54

212220000112212 has 96 divisors (see below), whose sum is σ = 556392519970560. Its totient is φ = 69945922500480.

The previous prime is 212220000112207. The next prime is 212220000112213. The reversal of 212220000112212 is 212211000022212.

It is a happy number.

212220000112212 is a `hidden beast` number, since 212 + 220 + 0 + 0 + 0 + 11 + 221 + 2 = 666.

It is a super-2 number, since 2×2122200001122122 (a number of 29 digits) contains 22 as substring.

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 (212220000112213) 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, 7343739 + ... + 21871682.

It is an arithmetic number, because the mean of its divisors is an integer number (5795755416360).

Almost surely, 2212220000112212 is an apocalyptic number.

It is an amenable number.

212220000112212 is an abundant number, since it is smaller than the sum of its proper divisors (344172519858348).

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

212220000112212 is a wasteful number, since it uses less digits than its factorization.

212220000112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29216190 (or 29216182 counting only the distinct ones).

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

Adding to 212220000112212 its reverse (212211000022212), we get a palindrome (424431000134424).

The spelling of 212220000112212 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 653 927 1236 1306 1854 1959 2612 2781 3708 3918 5562 5877 7836 11124 11754 17631 23508 35262 67259 70524 134518 201777 269036 403554 605331 807108 1210662 1815993 2421324 3631986 7263972 29215421 58430842 87646263 116861684 175292526 262938789 350585052 525877578 788816367 1051755156 1577632734 3009188363 3155265468 6018376726 9027565089 12036753452 18055130178 19077669913 27082695267 36110260356 38155339826 54165390534 57233009739 76310679652 81248085801 108330781068 114466019478 162496171602 171699029217 228932038956 324992343204 343398058434 515097087651 686796116868 1030194175302 1965000001039 2060388350604 3930000002078 5895000003117 7860000004156 11790000006234 17685000009351 23580000012468 35370000018702 53055000028053 70740000037404 106110000056106 212220000112212