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11212110212121 = 3271323728461539
BaseRepresentation
bin1010001100101000010111…
…0110001010110000011001
31110200212102020102212202200
42203022011312022300121
52432144400203241441
635502434453320413
72235022354221240
oct243120566126031
943625366385680
1011212110212121
113633035a08785
121310b95036109
136343b3685800
142aa951b63957
151469bcdbe7b6
hexa3285d8ac19

11212110212121 has 72 divisors (see below), whose sum is σ = 20583841112640. Its totient is φ = 5754239906688.

The previous prime is 11212110212119. The next prime is 11212110212141. The reversal of 11212110212121 is 12121201121211.

It is a happy number.

11212110212121 is a `hidden beast` number, since 1 + 121 + 211 + 0 + 212 + 121 = 666.

It is not a de Polignac number, because 11212110212121 - 21 = 11212110212119 is a prime.

It is a super-2 number, since 2×112121102121212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11212110212094 and 11212110212103.

It is not an unprimeable number, because it can be changed into a prime (11212110212141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13836831 + ... + 14624708.

It is an arithmetic number, because the mean of its divisors is an integer number (285886682120).

Almost surely, 211212110212121 is an apocalyptic number.

It is an amenable number.

11212110212121 is a deficient number, since it is larger than the sum of its proper divisors (9371730900519).

11212110212121 is a wasteful number, since it uses less digits than its factorization.

11212110212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28461615 (or 28461599 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11212110212121 its reverse (12121201121211), we get a palindrome (23333311333332).

The spelling of 11212110212121 in words is "eleven trillion, two hundred twelve billion, one hundred ten million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 169 259 273 333 481 507 777 819 1183 1443 1521 2331 3367 3549 4329 6253 10101 10647 18759 30303 43771 56277 131313 393939 28461539 85384617 199230773 256153851 370000007 597692319 1053076943 1110000021 1793076957 2590000049 3159230829 3330000063 4810000091 7371538601 7770000147 9477692487 13690000259 14430000273 22114615803 23310000441 33670000637 41070000777 43290000819 66343847409 95830001813 101010001911 123210002331 177970003367 287490005439 303030005733 533910010101 862470016317 1245790023569 1601730030303 3737370070707 11212110212121