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12120022101110 = 2571122949342597
BaseRepresentation
bin1011000001011110100110…
…0111001010110001110110
31120220122220011211120022112
42300113221213022301312
53042033301124213420
641435510012131022
72360433306024440
oct260275147126166
946818804746275
1012120022101110
113953088564900
121438b36a66a72
1369bbb4344821
142dc87dc39490
15160409cde8c5
hexb05e99cac76

12120022101110 has 96 divisors (see below), whose sum is σ = 28350283106880. Its totient is φ = 3647404696320.

The previous prime is 12120022101091. The next prime is 12120022101119. The reversal of 12120022101110 is 1110122002121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120022101119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24425669 + ... + 24916928.

It is an arithmetic number, because the mean of its divisors is an integer number (295315449030).

Almost surely, 212120022101110 is an apocalyptic number.

12120022101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12120022101110 is an abundant number, since it is smaller than the sum of its proper divisors (16230261005770).

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

12120022101110 is a wasteful number, since it uses less digits than its factorization.

12120022101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49342662 (or 49342651 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12120022101110 its reverse (1110122002121), we get a palindrome (13230144103231).

The spelling of 12120022101110 in words is "twelve trillion, one hundred twenty billion, twenty-two million, one hundred one thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 14 22 29 35 55 58 70 77 110 121 145 154 203 242 290 319 385 406 605 638 770 847 1015 1210 1595 1694 2030 2233 3190 3509 4235 4466 7018 8470 11165 17545 22330 24563 35090 49126 122815 245630 49342597 98685194 246712985 345398179 493425970 542768567 690796358 1085537134 1430935313 1726990895 2713842835 2861870626 3453981790 3799379969 5427685670 5970454237 7154676565 7598759938 10016547191 11940908474 14309353130 15740288443 18996899845 20033094382 29852271185 31480576886 37993799690 41793179659 50082735955 59704542370 78701442215 83586359318 100165471910 110182019101 157402884430 173143172873 208965898295 220364038202 346286345746 417931796590 550910095505 865715864365 1101820191010 1212002210111 1731431728730 2424004420222 6060011050555 12120022101110