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121221011012211 = 32112195981979541
BaseRepresentation
bin11011100011111111110111…
…010011001111101001110011
3120220012121121200102011012100
4123203333313103033221303
5111342041112304342321
61105452055204231443
734350633441431445
oct3343776723175163
9526177550364170
10121221011012211
11356965a6544800
121171953b39b583
1352841279b3986
1421d11b1c56495
15e03383c16326
hex6e3ff74cfa73

121221011012211 has 72 divisors (see below), whose sum is σ = 202625668037520. Its totient is φ = 69588872496000.

The previous prime is 121221011012207. The next prime is 121221011012221. The reversal of 121221011012211 is 112210110122121.

It is a happy number.

121221011012211 is a `hidden beast` number, since 1 + 212 + 210 + 110 + 122 + 11 = 666.

It is not a de Polignac number, because 121221011012211 - 22 = 121221011012207 is a prime.

It is a super-2 number, since 2×1212210110122112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121221011012221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123263101 + ... + 124242641.

It is an arithmetic number, because the mean of its divisors is an integer number (2814245389410).

Almost surely, 2121221011012211 is an apocalyptic number.

121221011012211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121221011012211 is a deficient number, since it is larger than the sum of its proper divisors (81404657025309).

121221011012211 is a wasteful number, since it uses less digits than its factorization.

121221011012211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985569 (or 985555 counting only the distinct ones).

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

Adding to 121221011012211 its reverse (112210110122121), we get a palindrome (233431121134332).

It can be divided in two parts, 1 and 21221011012211, that added together give a palindrome (21221011012212).

The spelling of 121221011012211 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, eleven million, twelve thousand, two hundred eleven".

Divisors: 1 3 9 11 19 33 57 99 121 171 209 363 627 1089 1881 2299 5981 6897 17943 20691 53829 65791 113639 197373 340917 592119 723701 979541 1022751 1250029 2171103 2938623 3750087 6513309 8815869 10774951 11250261 13750319 18611279 32324853 41250957 55833837 96974559 118524461 123752871 167501511 204724069 355573383 614172207 1066720149 1842516621 2251964759 5858634721 6755894277 17575904163 20267682831 52727712489 64444981931 111314059699 193334945793 333942179097 580004837379 708894801241 1001826537291 1224454656689 2126684403723 3673363970067 6380053211169 11020091910201 13469001223579 40407003670737 121221011012211