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12222102100212 = 2233532135237963
BaseRepresentation
bin1011000111011010111000…
…0011011101100011110100
31121021102101022100210221000
42301312232003131203310
53100221331114201322
641554431200523300
72401006040505324
oct261665603354364
947242338323830
1012222102100212
113992401008024
121454885320530
136a8701a5b464
143037a521b284
15162dd19403ac
hexb1dae0dd8f4

12222102100212 has 48 divisors (see below), whose sum is σ = 32284798015680. Its totient is φ = 3997165464864.

The previous prime is 12222102100199. The next prime is 12222102100213. The reversal of 12222102100212 is 21200120122221.

It is a happy number.

12222102100212 is a `hidden beast` number, since 1 + 22 + 221 + 0 + 210 + 0 + 212 = 666.

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 (12222102100213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1067613258 + ... + 1067624705.

It is an arithmetic number, because the mean of its divisors is an integer number (672599958660).

Almost surely, 212222102100212 is an apocalyptic number.

12222102100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12222102100212 is an abundant number, since it is smaller than the sum of its proper divisors (20062695915468).

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

12222102100212 is a wasteful number, since it uses less digits than its factorization.

12222102100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135238029 (or 2135238021 counting only the distinct ones).

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

Adding to 12222102100212 its reverse (21200120122221), we get a palindrome (33422222222433).

The spelling of 12222102100212 in words is "twelve trillion, two hundred twenty-two billion, one hundred two million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5724 2135237963 4270475926 6405713889 8540951852 12811427778 19217141667 25622855556 38434283334 57651425001 76868566668 113167612039 115302850002 226335224078 230605700004 339502836117 452670448156 679005672234 1018508508351 1358011344468 2037017016702 3055525525053 4074034033404 6111051050106 12222102100212