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12311212014 = 23217197331617
BaseRepresentation
bin10110111011100111…
…00010111111101110
31011202222201100222100
423131303202333232
5200203132241024
65353343555530
7614040401253
oct133563427756
934688640870
1012311212014
1152483a3892
122476bbbba6
131212789a4a
1484b0ad42a
154c0c467c9
hex2ddce2fee

12311212014 has 96 divisors (see below), whose sum is σ = 28518643296. Its totient is φ = 3824916480.

The previous prime is 12311212009. The next prime is 12311212091. The reversal of 12311212014 is 41021211321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19953034 + ... + 19953650.

It is an arithmetic number, because the mean of its divisors is an integer number (297069201).

Almost surely, 212311212014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311212014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259321648).

12311212014 is an abundant number, since it is smaller than the sum of its proper divisors (16207431282).

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

12311212014 is a wasteful number, since it uses less digits than its factorization.

12311212014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12311212014 its reverse (41021211321), we get a palindrome (53332423335).

The spelling of 12311212014 in words is "twelve billion, three hundred eleven million, two hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 197 306 331 394 591 617 662 993 1182 1234 1773 1851 1986 2979 3349 3546 3702 5553 5627 5958 6698 10047 10489 11106 11254 16881 20094 20978 30141 31467 33762 50643 60282 62934 65207 94401 101286 121549 130414 188802 195621 204227 243098 364647 391242 408454 586863 612681 729294 1093941 1108519 1173726 1225362 1838043 2066333 2187882 2217038 3325557 3471859 3676086 4132666 6198999 6651114 6943718 9976671 10415577 12397998 18596997 19953342 20831154 31246731 37193994 40232719 62493462 80465438 120698157 241396314 362094471 683956223 724188942 1367912446 2051868669 4103737338 6155606007 12311212014