Search a number
-
+
12211202101212 = 22321731960693979
BaseRepresentation
bin1011000110110010010001…
…0111010000111111011100
31121020101020200002111021100
42301230210113100333130
53100032020214214322
641545425424033100
72400141654160512
oct261544427207734
947211220074240
1012211202101212
113988818271494
121452742a62790
136a7685777bca
1430304d73c4b2
15162994a55dac
hexb1b245d0fdc

12211202101212 has 36 divisors (see below), whose sum is σ = 31045628479320. Its totient is φ = 4046872370592.

The previous prime is 12211202101211. The next prime is 12211202101243. The reversal of 12211202101212 is 21210120211221.

12211202101212 is a `hidden beast` number, since 1 + 221 + 1 + 20 + 210 + 1 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×122112021012122 (a number of 27 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 (12211202101211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 980340762 + ... + 980353217.

It is an arithmetic number, because the mean of its divisors is an integer number (862378568870).

Almost surely, 212211202101212 is an apocalyptic number.

12211202101212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211202101212 is an abundant number, since it is smaller than the sum of its proper divisors (18834426378108).

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

12211202101212 is a wasteful number, since it uses less digits than its factorization.

12211202101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960694162 (or 1960694157 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12211202101212 its reverse (21210120211221), we get a palindrome (33421322312433).

The spelling of 12211202101212 in words is "twelve trillion, two hundred eleven billion, two hundred two million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 1960693979 3921387958 5882081937 7842775916 11764163874 17646245811 23528327748 35292491622 70584983244 339200058367 678400116734 1017600175101 1356800233468 2035200350202 3052800525303 4070400700404 6105601050606 12211202101212