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12211011000012 = 22311293189919279
BaseRepresentation
bin1011000110110001100011…
…1110010001011011001100
31121020100202100111112201010
42301230120332101123030
53100031122304000022
641545354440045220
72400134143635246
oct261543076213314
947210670445633
1012211011000012
11398872a407310
1214526aaa63810
136a7654cb8186
143030321d5096
15162982da850c
hexb1b18f916cc

12211011000012 has 48 divisors (see below), whose sum is σ = 32154386342400. Its totient is φ = 3572709591360.

The previous prime is 12211010999989. The next prime is 12211011000037. The reversal of 12211011000012 is 21000011011221.

12211011000012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1594955812 + ... + 1594963467.

It is an arithmetic number, because the mean of its divisors is an integer number (669883048800).

Almost surely, 212211011000012 is an apocalyptic number.

12211011000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211011000012 is an abundant number, since it is smaller than the sum of its proper divisors (19943375342388).

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

12211011000012 is a wasteful number, since it uses less digits than its factorization.

12211011000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189919326 (or 3189919324 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12211011000012 its reverse (21000011011221), we get a palindrome (33211022011233).

The spelling of 12211011000012 in words is "twelve trillion, two hundred eleven billion, eleven million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 3189919279 6379838558 9569757837 12759677116 19139515674 35089112069 38279031348 70178224138 92507659091 105267336207 140356448276 185015318182 210534672414 277522977273 370030636364 421069344828 555045954546 1017584250001 1110091909092 2035168500002 3052752750003 4070337000004 6105505500006 12211011000012