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12026222064 = 2433197320071
BaseRepresentation
bin10110011001101000…
…11001010111110000
31011001010110101021000
423030310121113300
5144112203101224
65305203402000
7604010125623
oct131464312760
934033411230
1012026222064
1151115416aa
1223b7683300
13119871603c
148212c5dba
154a5c000c9
hex2ccd195f0

12026222064 has 160 divisors (see below), whose sum is σ = 36836134400. Its totient is φ = 3745543680.

The previous prime is 12026222063. The next prime is 12026222101. The reversal of 12026222064 is 46022262021.

It is a happy number.

12026222064 is a `hidden beast` number, since 12 + 0 + 2 + 622 + 20 + 6 + 4 = 666.

12026222064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12026222063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589149 + ... + 609219.

It is an arithmetic number, because the mean of its divisors is an integer number (230225840).

Almost surely, 212026222064 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 12026222064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18418067200).

12026222064 is an abundant number, since it is smaller than the sum of its proper divisors (24809912336).

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

12026222064 is a wasteful number, since it uses less digits than its factorization.

12026222064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20180 (or 20168 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12026222064 its reverse (46022262021), we get a palindrome (58048484085).

The spelling of 12026222064 in words is "twelve billion, twenty-six million, two hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 73 76 108 114 144 146 152 171 216 219 228 292 304 342 432 438 456 513 584 657 684 876 912 1026 1168 1314 1368 1387 1752 1971 2052 2628 2736 2774 3504 3942 4104 4161 5256 5548 7884 8208 8322 10512 11096 12483 15768 16644 20071 22192 24966 31536 33288 37449 40142 49932 60213 66576 74898 80284 99864 120426 149796 160568 180639 199728 240852 299592 321136 361278 381349 481704 541917 599184 722556 762698 963408 1083834 1144047 1445112 1465183 1525396 2167668 2288094 2890224 2930366 3050792 3432141 4335336 4395549 4576188 5860732 6101584 6864282 8670672 8791098 9152376 10296423 11721464 13186647 13728564 17582196 18304752 20592846 23442928 26373294 27457128 27838477 35164392 39559941 41185692 52746588 54914256 55676954 70328784 79119882 82371384 83515431 105493176 111353908 158239764 164742768 167030862 210986352 222707816 250546293 316479528 334061724 445415632 501092586 632959056 668123448 751638879 1002185172 1336246896 1503277758 2004370344 3006555516 4008740688 6013111032 12026222064