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12231243134432 = 2571033167167393
BaseRepresentation
bin1011000111111100111011…
…1001101111010111100000
31121022021222100211110111222
42301333032321233113200
53100344041220300212
642002542220554212
72401451415145010
oct261771671572740
947267870743458
1012231243134432
113996271977363
1214565b66b2968
136a952a7bb74a
14303dd1265c40
151632691c9c72
hexb1fcee6f5e0

12231243134432 has 96 divisors (see below), whose sum is σ = 27796424527872. Its totient is φ = 5189398401024.

The previous prime is 12231243134347. The next prime is 12231243134443. The reversal of 12231243134432 is 23443134213221.

It is a happy number.

It is a super-2 number, since 2×122312431344322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12231243134392 and 12231243134401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72985328 + ... + 73152720.

It is an arithmetic number, because the mean of its divisors is an integer number (289546088832).

Almost surely, 212231243134432 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 12231243134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898212263936).

12231243134432 is an abundant number, since it is smaller than the sum of its proper divisors (15565181393440).

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

12231243134432 is a wasteful number, since it uses less digits than its factorization.

12231243134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170680 (or 170672 counting only the distinct ones).

The product of its digits is 82944, while the sum is 35.

Adding to 12231243134432 its reverse (23443134213221), we get a palindrome (35674377347653).

The spelling of 12231243134432 in words is "twelve trillion, two hundred thirty-one billion, two hundred forty-three million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 412 721 824 1442 1648 2884 3167 3296 5768 6334 11536 12668 22169 23072 25336 44338 50672 88676 101344 167393 177352 326201 334786 354704 652402 669572 709408 1171751 1304804 1339144 2283407 2343502 2609608 2678288 4566814 4687004 5219216 5356576 9133628 9374008 10438432 17241479 18267256 18748016 34482958 36534512 37496032 68965916 73069024 120690353 137931832 241380706 275863664 482761412 530133631 551727328 965522824 1060267262 1931045648 2120534524 3710935417 3862091296 4241069048 7421870834 8482138096 14843741668 16964276192 29687483336 54603763993 59374966672 109207527986 118749933344 218415055972 382226347951 436830111944 764452695902 873660223888 1528905391804 1747320447776 3057810783608 6115621567216 12231243134432