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12211010002212 = 2237509617462881
BaseRepresentation
bin1011000110110001100011…
…1010011101110100100100
31121020100202021121211222120
42301230120322131310210
53100031122030032322
641545354402425540
72400134132311230
oct261543072356444
947210667554876
1012211010002212
11398872989568a
1214526aa6622b0
136a7654a28c68
143030320155c0
15162982c5ca5c
hexb1b18e9dd24

12211010002212 has 96 divisors (see below), whose sum is σ = 32679617322240. Its totient is φ = 3476354703360.

The previous prime is 12211010002189. The next prime is 12211010002237. The reversal of 12211010002212 is 21220001011221.

12211010002212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12211010002191 and 12211010002200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26149012 + ... + 26611892.

It is an arithmetic number, because the mean of its divisors is an integer number (340412680440).

Almost surely, 212211010002212 is an apocalyptic number.

12211010002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211010002212 is an abundant number, since it is smaller than the sum of its proper divisors (20468607320028).

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

12211010002212 is a wasteful number, since it uses less digits than its factorization.

12211010002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464021 (or 464019 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12211010002212 its reverse (21220001011221), we get a palindrome (33431011013433).

The spelling of 12211010002212 in words is "twelve trillion, two hundred eleven billion, ten million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 509 617 1018 1234 1527 1851 2036 2468 3054 3563 3702 4319 6108 7126 7404 8638 10689 12957 14252 17276 21378 25914 42756 51828 314053 462881 628106 925762 942159 1256212 1388643 1851524 1884318 2198371 2777286 3240167 3768636 4396742 5554572 6480334 6595113 8793484 9720501 12960668 13190226 19441002 26380452 38882004 235606429 285597577 471212858 571195154 706819287 856792731 942425716 1142390308 1413638574 1649245003 1713585462 1999183039 2827277148 3298490006 3427170924 3998366078 4947735009 5997549117 6596980012 7996732156 9895470018 11995098234 19790940036 23990196468 145369166693 290738333386 436107500079 581476666772 872215000158 1017584166851 1744430000316 2035168333702 3052752500553 4070336667404 6105505001106 12211010002212