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12121111020109 = 71329411314631847
BaseRepresentation
bin1011000001100010101010…
…0001000100001001001101
31120220202201001211101100211
42300120222201010021031
53042043013410120414
641440210031322421
72360502300466420
oct260305241041115
946822631741324
1012121111020109
1139535971a0863
12143919b680411
1369c028b158b0
142dc9446d19b7
151604706d73c4
hexb062a84424d

12121111020109 has 128 divisors (see below), whose sum is σ = 15972851220480. Its totient is φ = 8940618086400.

The previous prime is 12121111020091. The next prime is 12121111020113. The reversal of 12121111020109 is 90102011112121.

It is a happy number.

It is not a de Polignac number, because 12121111020109 - 27 = 12121111019981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12121111020109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121111020199) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6562593024 + ... + 6562594870.

It is an arithmetic number, because the mean of its divisors is an integer number (124787900160).

Almost surely, 212121111020109 is an apocalyptic number.

It is an amenable number.

12121111020109 is a deficient number, since it is larger than the sum of its proper divisors (3851740200371).

12121111020109 is a wasteful number, since it uses less digits than its factorization.

12121111020109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 12121111020109 in words is "twelve trillion, one hundred twenty-one billion, one hundred eleven million, twenty thousand, one hundred nine".

Divisors: 1 7 13 29 41 91 131 203 287 377 463 533 917 1189 1703 1847 2639 3241 3731 3799 5371 6019 8323 11921 12929 13427 15457 18983 24011 26593 37597 42133 49387 53563 60653 69823 75727 93989 108199 132881 155759 168077 174551 241957 246779 345709 374941 424571 488761 530089 550507 696319 788489 855161 984451 1090313 1221857 1693699 1727453 1758937 2024867 2196083 2486773 3145441 3853549 4874233 5519423 5986127 6891157 7016753 7156591 9920237 11117093 12312559 14174069 15372581 17407411 22018087 22866181 24799669 28549079 32328049 35061601 49117271 50096137 69441659 72116417 77819651 91217789 112026091 128963081 160063267 173597683 199843553 226296343 245431207 287686873 322395697 455800813 504814919 638524523 784182637 902741567 937513421 1016786429 1456339183 2013808111 2256769879 3190605691 3248756639 3739929349 4593069731 6562593947 7117505003 10194374281 13218223577 22741296473 26179505443 32151488117 42233836307 59709906503 92527565039 133199022199 295636854149 417969345521 932393155393 1731587288587 12121111020109