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12101210101112 = 2311673169647663
BaseRepresentation
bin1011000000011000100001…
…0101000101010101111000
31120211212100010201221200212
42300012020111011111320
53041231234241213422
641423115201450252
72356166160456416
oct260061025052570
946755303657625
1012101210101112
113946104695870
121435366940988
1369a1a6b1c392
142db9b763c2b6
1515eba84dd9e2
hexb0188545578

12101210101112 has 64 divisors (see below), whose sum is σ = 25129881331200. Its totient is φ = 5416734090240.

The previous prime is 12101210101073. The next prime is 12101210101133. The reversal of 12101210101112 is 21110101210121.

It is a super-2 number, since 2×121012101011122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18360593 + ... + 19008255.

It is an arithmetic number, because the mean of its divisors is an integer number (392654395800).

Almost surely, 212101210101112 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 12101210101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12564940665600).

12101210101112 is an abundant number, since it is smaller than the sum of its proper divisors (13028671230088).

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

12101210101112 is a wasteful number, since it uses less digits than its factorization.

12101210101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650916 (or 650912 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12101210101112 its reverse (21110101210121), we get a palindrome (33211311311233).

The spelling of 12101210101112 in words is "twelve trillion, one hundred one billion, two hundred ten million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 536 737 1474 2948 3169 5896 6338 12676 25352 34859 69718 139436 212323 278872 424646 647663 849292 1295326 1698584 2335553 2590652 4671106 5181304 7124293 9342212 14248586 18684424 28497172 43393421 56994344 86786842 173573684 347147368 477327631 954655262 1909310524 2052444047 3818621048 4104888094 8209776188 16419552376 22576884517 45153769034 90307538068 137513751149 180615076136 275027502298 550055004596 1100110009192 1512651262639 3025302525278 6050605050556 12101210101112