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221232230112012 = 223711358513983461
BaseRepresentation
bin110010010011010110100100…
…011111010001101100001100
31002000022121001111110000010220
4302103112210133101230030
5212444132101402041022
62102304403343231340
764412333620433550
oct6223264437215414
91060277044400126
10221232230112012
1164545075427689
12209903562a8550
13965a157267cc2
143c8b9a8a8d860
151a89b5840385c
hexc935a47d1b0c

221232230112012 has 96 divisors (see below), whose sum is σ = 595275304318464. Its totient is φ = 62639111808000.

The previous prime is 221232230112007. The next prime is 221232230112067. The reversal of 221232230112012 is 210211032232122.

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 31 ways as a sum of consecutive naturals, for example, 53545962 + ... + 57529422.

It is an arithmetic number, because the mean of its divisors is an integer number (6200784419984).

Almost surely, 2221232230112012 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 221232230112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297637652159232).

221232230112012 is an abundant number, since it is smaller than the sum of its proper divisors (374043074206452).

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

221232230112012 is a wasteful number, since it uses less digits than its factorization.

221232230112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989439 (or 3989437 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221232230112012 its reverse (210211032232122), we get a palindrome (431443262344134).

The spelling of 221232230112012 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, two hundred thirty million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 791 1356 1582 2373 3164 4746 5851 9492 11702 17553 23404 35106 40957 70212 81914 122871 163828 245742 491484 661163 1322326 1983489 2644652 3966978 3983461 4628141 7933956 7966922 9256282 11950383 13884423 15933844 18512564 23900766 27768846 27884227 47801532 55537692 55768454 83652681 111536908 167305362 334610724 450131093 900262186 1350393279 1800524372 2700786558 3150917651 5401573116 6301835302 9452752953 12603670604 18905505906 23307230311 37811011812 46614460622 69921690933 93228921244 139843381866 163150612177 279686763732 326301224354 489451836531 652602448708 978903673062 1957807346124 2633717025143 5267434050286 7901151075429 10534868100572 15802302150858 18436019176001 31604604301716 36872038352002 55308057528003 73744076704004 110616115056006 221232230112012