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12012002424144 = 243414969619181
BaseRepresentation
bin1010111011001100001100…
…1000110011010101010000
31120112100002002202102110000
42232303003020303111100
53033301040110033034
641314123203410000
72346560421643512
oct256630310632520
946470062672400
1012012002424144
1139112972417a8
12142000b383900
1369195b1c28c8
142d7553a6bbb2
1515c6d69be599
hexaecc3233550

12012002424144 has 100 divisors (see below), whose sum is σ = 34768598679540. Its totient is φ = 4003726855680.

The previous prime is 12012002424143. The next prime is 12012002424167. The reversal of 12012002424144 is 44142420021021.

12012002424144 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 0 + 0 + 242 + 414 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 595848135744 + 11416154288400 = 771912^2 + 3378780^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012002424143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19090234 + ... + 19709414.

Almost surely, 212012002424144 is an apocalyptic number.

It is an amenable number.

12012002424144 is an abundant number, since it is smaller than the sum of its proper divisors (22756596255396).

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

12012002424144 is a wasteful number, since it uses less digits than its factorization.

12012002424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634170 (or 634155 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 12012002424144 its reverse (44142420021021), we get a palindrome (56154422445165).

The spelling of 12012002424144 in words is "twelve trillion, twelve billion, two million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 14969 29938 44907 59876 89814 119752 134721 179628 239504 269442 359256 404163 538884 619181 718512 808326 1077768 1212489 1238362 1616652 1857543 2155536 2424978 2476724 3233304 3715086 4849956 4953448 5572629 6466608 7430172 9699912 9906896 11145258 14860344 16717887 19399824 22290516 29720688 33435774 44581032 50153661 66871548 89162064 100307322 133743096 200614644 267486192 401229288 802458576 9268520389 18537040778 27805561167 37074081556 55611122334 74148163112 83416683501 111222244668 148296326224 166833367002 222444489336 250250050503 333666734004 444888978672 500500101006 667333468008 750750151509 1001000202012 1334666936016 1501500303018 2002000404024 3003000606036 4004000808048 6006001212072 12012002424144