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12221011121112 = 2332169736265571
BaseRepresentation
bin1011000111010110110100…
…0001101101001111011000
31121021022120021111022221200
42301311231001231033120
53100212112321333422
641554131025234200
72400640022363253
oct261655501551730
947238507438850
1012221011121112
1139919a11a4302
12145461ba92960
136a8589a187b1
1430370038a09a
15162d6ac8c2ac
hexb1d6d06d3d8

12221011121112 has 24 divisors (see below), whose sum is σ = 33098571786540. Its totient is φ = 4073670373680.

The previous prime is 12221011121101. The next prime is 12221011121161. The reversal of 12221011121112 is 21112111012221.

It is a happy number.

12221011121112 is a `hidden beast` number, since 122 + 210 + 111 + 211 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×122210111211122 (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 an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 84868132714 + ... + 84868132857.

Almost surely, 212221011121112 is an apocalyptic number.

12221011121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12221011121112 is an abundant number, since it is smaller than the sum of its proper divisors (20877560665428).

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

12221011121112 is a wasteful number, since it uses less digits than its factorization.

12221011121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169736265583 (or 169736265576 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12221011121112 its reverse (21112111012221), we get a palindrome (33333122133333).

The spelling of 12221011121112 in words is "twelve trillion, two hundred twenty-one billion, eleven million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 169736265571 339472531142 509208796713 678945062284 1018417593426 1357890124568 1527626390139 2036835186852 3055252780278 4073670373704 6110505560556 12221011121112