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12002424133204 = 22176173274114461
BaseRepresentation
bin1010111010101000100000…
…1110100001011001010100
31120111102100120111211101201
42232222020032201121110
53033121431034230304
641305500523402244
72346101154551161
oct256521016413124
946442316454351
1012002424133204
11390822157aa7a
12141a197683384
13690a929a802b
142d6cc5921068
1515c325b623a4
hexaea883a1654

12002424133204 has 96 divisors (see below), whose sum is σ = 22923966334752. Its totient is φ = 5477124096000.

The previous prime is 12002424133181. The next prime is 12002424133237. The reversal of 12002424133204 is 40233142420021.

It can be written as a sum of positive squares in 16 ways, for example, as 7352492556304 + 4649931576900 = 2711548^2 + 2156370^2 .

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 829978534 + ... + 829992994.

It is an arithmetic number, because the mean of its divisors is an integer number (238791315987).

Almost surely, 212002424133204 is an apocalyptic number.

It is an amenable number.

12002424133204 is a deficient number, since it is larger than the sum of its proper divisors (10921542201548).

12002424133204 is a wasteful number, since it uses less digits than its factorization.

12002424133204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17357 (or 17355 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 12002424133204 its reverse (40233142420021), we get a palindrome (52235566553225).

The spelling of 12002424133204 in words is "twelve trillion, two billion, four hundred twenty-four million, one hundred thirty-three thousand, two hundred four".

Divisors: 1 2 4 17 34 61 68 73 122 146 244 292 1037 1241 2074 2482 2741 4148 4453 4964 5482 8906 10964 14461 17812 28922 46597 57844 75701 93194 151402 167201 186388 200093 245837 302804 334402 400186 491674 668804 800372 882121 983348 1055653 1764242 2111306 2842417 3401581 3528484 4222612 5684834 6803162 11369668 12205673 13606324 14996057 17946101 24411346 29992114 35892202 39637601 48822692 59984228 64394833 71784404 79275202 128789666 158550404 207496441 257579332 414992882 673839217 829985764 1094712161 1347678434 2189424322 2417893661 2695356868 2893544873 4378848644 4835787322 5787089746 9671574644 11574179492 41104192237 49190262841 82208384474 98380525682 164416768948 176506237253 196761051364 353012474506 706024949012 3000606033301 6001212066602 12002424133204