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12220030332048 = 24371128971141279
BaseRepresentation
bin1011000111010011001010…
…0100010010110010010000
31121021020000220222002021210
42301310302210102302100
53100203110231111143
641553445431420120
72400603512664030
oct261646244226220
947236026862253
1012220030332048
113991538601a30
1214543a7524640
136a8461776836
14303649ddd8c0
15162d0eb03033
hexb1d32912c90

12220030332048 has 160 divisors (see below), whose sum is σ = 39371640053760. Its totient is φ = 3172935444480.

The previous prime is 12220030332031. The next prime is 12220030332049. The reversal of 12220030332048 is 84023303002221.

It is not an unprimeable number, because it can be changed into a prime (12220030332049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10136673 + ... + 11277951.

It is an arithmetic number, because the mean of its divisors is an integer number (246072750336).

Almost surely, 212220030332048 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 12220030332048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19685820026880).

12220030332048 is an abundant number, since it is smaller than the sum of its proper divisors (27151609721712).

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

12220030332048 is a wasteful number, since it uses less digits than its factorization.

12220030332048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144205 (or 1144199 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12220030332048 its reverse (84023303002221), we get a palindrome (96243333334269).

The spelling of 12220030332048 in words is "twelve trillion, two hundred twenty billion, thirty million, three hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 2897 3696 5794 8691 11588 17382 20279 23176 31867 34764 40558 46352 60837 63734 69528 81116 95601 121674 127468 139056 162232 191202 223069 243348 254936 324464 382404 446138 486696 509872 669207 764808 892276 973392 1141279 1338414 1529616 1784552 2282558 2676828 3423837 3569104 4565116 5353656 6847674 7988953 9130232 10707312 12554069 13695348 15977906 18260464 23966859 25108138 27390696 31955812 37662207 47933718 50216276 54781392 63911624 75324414 87878483 95867436 100432552 127823248 150648828 175756966 191734872 200865104 263635449 301297656 351513932 383469744 527270898 602595312 703027864 1054541796 1406055728 2109083592 3306285263 4218167184 6612570526 9918855789 13225141052 19837711578 23143996841 26450282104 36369137893 39675423156 46287993682 52900564208 69431990523 72738275786 79350846312 92575987364 109107413679 138863981046 145476551572 158701692624 185151974728 218214827358 254583965251 277727962092 290953103144 370303949456 436429654716 509167930502 555455924184 581906206288 763751895753 872859309432 1018335861004 1110911848368 1527503791506 1745718618864 2036671722008 3055007583012 4073343444016 6110015166024 12220030332048