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12162151218 = 23719432391483
BaseRepresentation
bin10110101001110101…
…11011001100110010
31011101121020022000010
423110322323030302
5144402002314333
65330501035350
7610250402550
oct132472731462
934347208003
1012162151218
115181243248
1224350b5b56
1311ba9294a9
1483538abd0
154b2b00563
hex2d4ebb332

12162151218 has 128 divisors (see below), whose sum is σ = 30088396800. Its totient is φ = 3199839552.

The previous prime is 12162151217. The next prime is 12162151231. The reversal of 12162151218 is 81215126121.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12162151217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8200305 + ... + 8201787.

It is an arithmetic number, because the mean of its divisors is an integer number (235065600).

Almost surely, 212162151218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12162151218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044198400).

12162151218 is an abundant number, since it is smaller than the sum of its proper divisors (17926245582).

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

12162151218 is a wasteful number, since it uses less digits than its factorization.

12162151218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796.

The product of its digits is 1920, while the sum is 30.

Adding to 12162151218 its reverse (81215126121), we get a palindrome (93377277339).

The spelling of 12162151218 in words is "twelve billion, one hundred sixty-two million, one hundred fifty-one thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 43 57 86 114 129 133 239 258 266 301 399 478 602 717 798 817 903 1434 1483 1634 1673 1806 2451 2966 3346 4449 4541 4902 5019 5719 8898 9082 10038 10277 10381 11438 13623 17157 20554 20762 27246 28177 30831 31143 31787 34314 56354 61662 62286 63574 63769 71939 84531 95361 127538 143878 169062 190722 191307 195263 197239 215817 354437 382614 390526 394478 431634 446383 585789 591717 708874 892766 1063311 1171578 1183434 1211611 1339149 1366841 2126622 2423222 2481059 2678298 2733682 3634833 4100523 4962118 6734303 7269666 7443177 8201046 8481277 13468606 14886354 15240791 16962554 20202909 25443831 30481582 40405818 45722373 47140121 50887662 91444746 94280242 106685537 141420363 213371074 282840726 289575029 320056611 579150058 640113222 868725087 1737450174 2027025203 4054050406 6081075609 12162151218