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2012213412 = 22321167149509
BaseRepresentation
bin111011111101111…
…1111000010100100
312012020100000212200
41313323333002210
513110111312122
6531400414500
7100602350256
oct16773770244
95166300780
102012213412
119429297a0
12481a77430
13260b62531
14151357cd6
15bb9c65ac
hex77eff0a4

2012213412 has 144 divisors (see below), whose sum is σ = 5680584000. Its totient is φ = 595457280.

The previous prime is 2012213369. The next prime is 2012213429. The reversal of 2012213412 is 2143122102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3953014 + ... + 3953522.

It is an arithmetic number, because the mean of its divisors is an integer number (39448500).

Almost surely, 22012213412 is an apocalyptic number.

2012213412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012213412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840292000).

2012213412 is an abundant number, since it is smaller than the sum of its proper divisors (3668370588).

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

2012213412 is a wasteful number, since it uses less digits than its factorization.

2012213412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2012213412 is about 44857.7018136239. The cubic root of 2012213412 is about 1262.4805028130.

Adding to 2012213412 its reverse (2143122102), we get a palindrome (4155335514).

The spelling of 2012213412 in words is "two billion, twelve million, two hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 149 198 201 268 298 396 402 447 509 596 603 737 804 894 1018 1206 1341 1474 1527 1639 1788 2036 2211 2412 2682 2948 3054 3278 4422 4581 4917 5364 5599 6108 6556 6633 8844 9162 9834 9983 11198 13266 14751 16797 18324 19668 19966 22396 26532 29502 29949 33594 34103 39932 50391 59004 59898 67188 68206 75841 89847 100782 102309 109813 119796 136412 151682 179694 201564 204618 219626 227523 303364 306927 329439 359388 375133 409236 439252 455046 613854 658878 682569 750266 834251 910092 988317 1125399 1227708 1317756 1365138 1500532 1668502 1976634 2250798 2502753 2730276 3337004 3376197 3953268 4501596 5005506 5081347 6752394 7508259 10011012 10162694 13504788 15016518 15244041 20325388 30033036 30488082 45732123 55894817 60976164 91464246 111789634 167684451 182928492 223579268 335368902 503053353 670737804 1006106706 2012213412