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12041121216 = 263173689069
BaseRepresentation
bin10110011011011010…
…01110110111000000
31011002011111100001110
423031231032313000
5144130011334331
65310455003320
7604250561445
oct131555166700
934064440043
1012041121216
115119998653
122400669540
13119b8317c7
148232839cc
154a7194946
hex2cdb4edc0

12041121216 has 56 divisors (see below), whose sum is σ = 33732856080. Its totient is φ = 3777605632.

The previous prime is 12041121181. The next prime is 12041121217. The reversal of 12041121216 is 61212114021.

It is a junction number, because it is equal to n+sod(n) for n = 12041121192 and 12041121201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041121217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1841271 + ... + 1847798.

It is an arithmetic number, because the mean of its divisors is an integer number (602372430).

Almost surely, 212041121216 is an apocalyptic number.

12041121216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12041121216 is an abundant number, since it is smaller than the sum of its proper divisors (21691734864).

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

12041121216 is a wasteful number, since it uses less digits than its factorization.

12041121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689101 (or 3689091 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 12041121216 its reverse (61212114021), we get a palindrome (73253235237).

The spelling of 12041121216 in words is "twelve billion, forty-one million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 3689069 7378138 11067207 14756276 22134414 29512552 44268828 59025104 62714173 88537656 118050208 125428346 177075312 188142519 236100416 250856692 354150624 376285038 501713384 708301248 752570076 1003426768 1505140152 2006853536 3010280304 4013707072 6020560608 12041121216