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12111310476 = 22321753675573
BaseRepresentation
bin10110100011110001…
…11110111010001100
31011021001120022121200
423101320332322030
5144300443413401
65321443225500
7606062304036
oct132170767214
934231508550
1012111310476
115155578901
122420078290
1311b0238505
1482c714c56
154ad40b686
hex2d1e3ee8c

12111310476 has 144 divisors (see below), whose sum is σ = 33526138464. Its totient is φ = 3671635968.

The previous prime is 12111310451. The next prime is 12111310489. The reversal of 12111310476 is 67401311121.

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 47 ways as a sum of consecutive naturals, for example, 2170426 + ... + 2175998.

It is an arithmetic number, because the mean of its divisors is an integer number (232820406).

Almost surely, 212111310476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12111310476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16763069232).

12111310476 is an abundant number, since it is smaller than the sum of its proper divisors (21414827988).

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

12111310476 is a wasteful number, since it uses less digits than its factorization.

12111310476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 12111310476 its reverse (67401311121), we get a palindrome (79512621597).

The spelling of 12111310476 in words is "twelve billion, one hundred eleven million, three hundred ten thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 67 68 102 106 134 153 159 201 204 212 268 306 318 402 477 603 612 636 804 901 954 1139 1206 1802 1908 2278 2412 2703 3417 3551 3604 4556 5406 5573 6834 7102 8109 10251 10653 10812 11146 13668 14204 16218 16719 20502 21306 22292 31959 32436 33438 41004 42612 50157 60367 63918 66876 94741 100314 120734 127836 181101 189482 200628 241468 284223 295369 362202 373391 378964 543303 568446 590738 724404 746782 852669 886107 1086606 1120173 1136892 1181476 1493564 1705338 1772214 2173212 2240346 2658321 3360519 3410676 3544428 4480692 5021273 5316642 6347647 6721038 10042546 10633284 12695294 13442076 15063819 19042941 19789723 20085092 25390588 30127638 38085882 39579446 45191457 57128823 59369169 60255276 76171764 79158892 90382914 114257646 118738338 178107507 180765828 228515292 237476676 336425291 356215014 672850582 712430028 1009275873 1345701164 2018551746 3027827619 4037103492 6055655238 12111310476