Search a number
-
+
12012121021122 = 2324320183768941
BaseRepresentation
bin1010111011001100101000…
…1101001101101011000010
31120112100101100220202220200
42232303022031031223002
53033301310440133442
641314143041350030
72346563362002345
oct256631215155302
946470340822820
1012012121021122
113911348185432
121420043038316
13691979948031
142d756570045c
1515c6e20e934c
hexaecca34dac2

12012121021122 has 48 divisors (see below), whose sum is σ = 26632878262848. Its totient is φ = 3910724264160.

The previous prime is 12012121021081. The next prime is 12012121021237. The reversal of 12012121021122 is 22112012121021.

12012121021122 is a `hidden beast` number, since 1 + 201 + 21 + 210 + 211 + 22 = 666.

12012121021122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12012121021095 and 12012121021104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15237172 + ... + 16006112.

It is an arithmetic number, because the mean of its divisors is an integer number (554851630476).

Almost surely, 212012121021122 is an apocalyptic number.

12012121021122 is an abundant number, since it is smaller than the sum of its proper divisors (14620757241726).

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

12012121021122 is a wasteful number, since it uses less digits than its factorization.

12012121021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789175 (or 789172 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12012121021122 its reverse (22112012121021), we get a palindrome (34124133142143).

The spelling of 12012121021122 in words is "twelve trillion, twelve billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 20183 40366 60549 121098 181647 363294 768941 867869 1537882 1735738 2306823 2603607 4613646 5207214 6920469 7810821 13840938 15621642 33064463 66128926 99193389 198386778 297580167 595160334 15519536203 31039072406 46558608609 93117217218 139675825827 279351651654 667340056729 1334680113458 2002020170187 4004040340374 6006060510561 12012121021122