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12012340340 = 22571121354547
BaseRepresentation
bin10110010111111110…
…11100010001110100
31011000011100010010002
423023333130101310
5144100124342330
65303550050432
7603451131260
oct131377342164
934004303102
1012012340340
115104720100
1223b2aa9a18
1311958956c0
1481d5110a0
154a48abe45
hex2cbfdc474

12012340340 has 144 divisors (see below), whose sum is σ = 34126974336. Its totient is φ = 3456034560.

The previous prime is 12012340337. The next prime is 12012340349. The reversal of 12012340340 is 4304321021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012340349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192947 + ... + 247493.

Almost surely, 212012340340 is an apocalyptic number.

12012340340 is a gapful number since it is divisible by the number (10) 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 12012340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17063487168).

12012340340 is an abundant number, since it is smaller than the sum of its proper divisors (22114633996).

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

12012340340 is a wasteful number, since it uses less digits than its factorization.

12012340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54598 (or 54585 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12012340340 its reverse (4304321021), we get a palindrome (16316661361).

The spelling of 12012340340 in words is "twelve billion, twelve million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 6292 7865 8470 10010 11011 15730 16940 20020 22022 31460 44044 54547 55055 109094 110110 218188 220220 272735 381829 545470 600017 709111 763658 1090940 1200034 1418222 1527316 1909145 2400068 2836444 3000085 3545555 3818290 4200119 4963777 6000170 6600187 7091110 7636580 7800221 8400238 9927554 12000340 13200374 14182220 15600442 16800476 19855108 21000595 24818885 26400748 31200884 33000935 39001105 42001190 46201309 49637770 54601547 66001870 78002210 84002380 85802431 92402618 99275540 109203094 132003740 156004420 171604862 184805236 218406188 231006545 273007735 343209724 429012155 462013090 546015470 600617017 858024310 924026180 1092030940 1201234034 1716048620 2402468068 3003085085 6006170170 12012340340