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12021112012 = 22713172384463
BaseRepresentation
bin10110011001000001…
…11001110011001100
31011000202211202120211
423030200321303030
5144104401041022
65304502052204
7603615523540
oct131440716314
934022752524
1012021112012
115109671418
1223b5a1a064
131197647140
14820755a20
154a5540e77
hex2cc839ccc

12021112012 has 96 divisors (see below), whose sum is σ = 28606943232. Its totient is φ = 4281209856.

The previous prime is 12021112009. The next prime is 12021112021. The reversal of 12021112012 is 21021112021.

It is a super-3 number, since 3×120211120123 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 12021111983 and 12021112001.

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, 100093 + ... + 184555.

It is an arithmetic number, because the mean of its divisors is an integer number (297988992).

Almost surely, 212021112012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14303471616).

12021112012 is an abundant number, since it is smaller than the sum of its proper divisors (16585831220).

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

12021112012 is a wasteful number, since it uses less digits than its factorization.

12021112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84527 (or 84525 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12021112012 its reverse (21021112021), we get a palindrome (33042224033).

Subtracting 12021112012 from its reverse (21021112021), we obtain a palindrome (9000000009).

The spelling of 12021112012 in words is "twelve billion, twenty-one million, one hundred twelve thousand, twelve".

Divisors: 1 2 4 7 13 14 17 23 26 28 34 46 52 68 91 92 119 161 182 221 238 299 322 364 391 442 476 598 644 782 884 1196 1547 1564 2093 2737 3094 4186 5083 5474 6188 8372 10166 10948 20332 35581 71162 84463 142324 168926 337852 591241 1098019 1182482 1435871 1942649 2196038 2364964 2871742 3885298 4392076 5743484 7686133 7770596 10051097 13598543 15372266 18666323 20102194 25254437 27197086 30744532 33025033 37332646 40204388 50508874 54394172 66050066 74665292 101017748 130664261 132100132 176781059 231175231 261328522 353562118 429325429 462350462 522657044 707124236 858650858 924700924 1717301716 3005278003 6010556006 12021112012