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12243322121142 = 2372831291138861
BaseRepresentation
bin1011001000101001111011…
…0111011010101110110110
31121100110011011120120021010
42302022132313122232312
53101043310430334032
642012300551333050
72402356635634500
oct262123667325666
947313134516233
1012243322121142
1139a0400177902
121458a07981186
136aa70411a368
14304819564d70
1516372484dccc
hexb229eddabb6

12243322121142 has 96 divisors (see below), whose sum is σ = 28830624689664. Its totient is φ = 3455589748800.

The previous prime is 12243322121141. The next prime is 12243322121167. The reversal of 12243322121142 is 24112122334221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12243322121141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315034792 + ... + 315073652.

It is an arithmetic number, because the mean of its divisors is an integer number (300319007184).

Almost surely, 212243322121142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12243322121142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415312344832).

12243322121142 is an abundant number, since it is smaller than the sum of its proper divisors (16587302568522).

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

12243322121142 is a wasteful number, since it uses less digits than its factorization.

12243322121142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51874 (or 51867 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 12243322121142 its reverse (24112122334221), we get a palindrome (36355444455363).

The spelling of 12243322121142 in words is "twelve trillion, two hundred forty-three billion, three hundred twenty-two million, one hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 83 98 147 166 249 294 498 581 1162 1743 3486 4067 8134 12201 12911 24402 25822 38733 38861 77466 77722 90377 116583 180754 233166 271131 272027 542262 544054 632639 816081 1071613 1265278 1632162 1897917 1904189 2143226 3214839 3225463 3795834 3808378 5712567 6429678 6450926 7501291 9676389 11425134 15002582 19352778 22503873 22578241 45007746 45156482 52509037 67734723 105018074 135469446 157527111 158047687 315054222 316095374 474143061 501734371 948286122 1003468742 1505203113 3010406226 3512140597 7024281194 10536421791 21072843582 24584984179 41643952793 49169968358 73754952537 83287905586 124931858379 147509905074 249863716758 291507669551 583015339102 874523008653 1749046017306 2040553686857 4081107373714 6121661060571 12243322121142