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12222422144 = 271997197263
BaseRepresentation
bin10110110001000001…
…10101110010000000
31011112210122101011122
423120200311302000
5200012420002034
65340452531412
7611611605542
oct133040656200
934483571148
1012222422144
115202269729
122451320b68
1311ca26c86a
1483d399692
154b805862e
hex2d8835c80

12222422144 has 128 divisors (see below), whose sum is σ = 26125545600. Its totient is φ = 5679120384.

The previous prime is 12222422141. The next prime is 12222422291. The reversal of 12222422144 is 44122422221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×122224221442 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12222422141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46472957 + ... + 46473219.

It is an arithmetic number, because the mean of its divisors is an integer number (204105825).

Almost surely, 212222422144 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 12222422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13062772800).

12222422144 is an abundant number, since it is smaller than the sum of its proper divisors (13903123456).

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

12222422144 is a wasteful number, since it uses less digits than its factorization.

12222422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 578 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

Adding to 12222422144 its reverse (44122422221), we get a palindrome (56344844365).

The spelling of 12222422144 in words is "twelve billion, two hundred twenty-two million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 97 128 152 194 197 263 304 388 394 526 608 776 788 1052 1216 1552 1576 1843 2104 2432 3104 3152 3686 3743 4208 4997 6208 6304 7372 7486 8416 9994 12416 12608 14744 14972 16832 19109 19988 25216 25511 29488 29944 33664 38218 39976 51022 51811 58976 59888 76436 79952 102044 103622 117952 119776 152872 159904 204088 207244 235904 239552 305744 319808 363071 408176 414488 479104 484709 611488 639616 726142 816352 828976 969418 984409 1222976 1452284 1632704 1657952 1938836 1968818 2445952 2904568 3265408 3315904 3877672 3937636 5025667 5809136 6631808 7755344 7875272 10051334 11618272 15510688 15750544 20102668 23236544 31021376 31501088 40205336 46473088 62042752 63002176 80410672 95487673 126004352 160821344 190975346 321642688 381950692 643285376 763901384 1527802768 3055605536 6111211072 12222422144