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12006017856 = 26337992561
BaseRepresentation
bin10110010111001110…
…10100101101000000
31010222201102220022000
423023213110231000
5144042020032411
65303202344000
7603343316340
oct131347245500
933881386260
1012006017856
1151010a1a08
1223b095b000
1311944909a1
1481c746d20
154a405d956
hex2cb9d4b40

12006017856 has 112 divisors (see below), whose sum is σ = 40337719680. Its totient is φ = 3430287360.

The previous prime is 12006017851. The next prime is 12006017857. The reversal of 12006017856 is 65871060021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12006017856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006017851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484185 + ... + 508376.

Almost surely, 212006017856 is an apocalyptic number.

12006017856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12006017856 is an abundant number, since it is smaller than the sum of its proper divisors (28331701824).

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

12006017856 is an equidigital number, since it uses as much as digits as its factorization.

12006017856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992589 (or 992573 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 12006017856 its reverse (65871060021), we get a palindrome (77877077877).

The spelling of 12006017856 in words is "twelve billion, six million, seventeen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 992561 1985122 2977683 3970244 5955366 6947927 7940488 8933049 11910732 13895854 15880976 17866098 20843781 23821464 26799147 27791708 31761952 35732196 41687562 47642928 53598294 55583416 62531343 63523904 71464392 83375124 95285856 107196588 111166832 125062686 142928784 166750248 187594029 190571712 214393176 222333664 250125372 285857568 333500496 375188058 428786352 444667328 500250744 571715136 667000992 750376116 857572704 1000501488 1334001984 1500752232 1715145408 2001002976 3001504464 4002005952 6003008928 12006017856