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12010222241444 = 22721961392313477
BaseRepresentation
bin1010111011000101100100…
…0001111100011010100100
31120112011111001000202212102
42232301121001330122210
53033233413343211234
641313230412111232
72346465334434500
oct256613101743244
946464431022772
1012010222241444
113910563393129
12141b7b3165518
13691736450a6b
142d7425473300
1515c63057cc7e
hexaec5907c6a4

12010222241444 has 144 divisors (see below), whose sum is σ = 26166704598720. Its totient is φ = 4794812547840.

The previous prime is 12010222241429. The next prime is 12010222241453. The reversal of 12010222241444 is 44414222201021.

It is a super-2 number, since 2×120102222414442 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891157634 + ... + 891171110.

It is an arithmetic number, because the mean of its divisors is an integer number (181713226380).

Almost surely, 212010222241444 is an apocalyptic number.

12010222241444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010222241444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13083352299360).

12010222241444 is an abundant number, since it is smaller than the sum of its proper divisors (14156482357276).

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

12010222241444 is a wasteful number, since it uses less digits than its factorization.

12010222241444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17498 (or 17489 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 12010222241444 its reverse (44414222201021), we get a palindrome (56424444442465).

The spelling of 12010222241444 in words is "twelve trillion, ten billion, two hundred twenty-two million, two hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 61 76 98 122 133 196 244 266 427 532 854 931 1159 1708 1862 2318 2989 3724 3923 4636 5978 7846 8113 11956 13477 15692 16226 26954 27461 32452 53908 54922 56791 74537 94339 109844 113582 149074 188678 192227 227164 239303 256063 298148 377356 384454 478606 512126 521759 660373 768908 822097 957212 1024252 1043518 1320746 1644194 1675121 1792441 2087036 2641492 3288388 3350242 3584882 3652313 4546757 5754679 6700484 7169764 7304626 9093514 11509358 11725847 12547087 14609252 15619843 18187028 23018716 23451694 25094174 31239686 31827299 40282753 46903388 50188348 52870271 62479372 63654598 80565506 105740542 109338901 127309196 161131012 211481084 218677802 222791093 370091897 437355604 445582186 740183794 765372307 891164372 1004535149 1480367588 1530744614 2009070298 2590643279 3061489228 3225086531 4018140596 5181286558 6450173062 7031746043 10362573116 12900346124 14063492086 22575605717 28126984172 45151211434 49222222301 61276644089 90302422868 98444444602 122553288178 158029240019 196888889204 245106576356 316058480038 428936508623 632116960076 857873017246 1715746034492 3002555560361 6005111120722 12010222241444