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11221210012122 = 232111915791188891
BaseRepresentation
bin1010001101001010010000…
…1111001001100111011010
31110201201220102022121122100
42203102210033021213122
52432322014230341442
635510541441504230
72235464021232345
oct243224417114732
943651812277570
1011221210012122
113636985574150
1213128b4642076
13635203a09556
142ab17651745c
15146d51c1184c
hexa34a43c99da

11221210012122 has 96 divisors (see below), whose sum is σ = 27920715863040. Its totient is φ = 3221178948000.

The previous prime is 11221210012099. The next prime is 11221210012147. The reversal of 11221210012122 is 22121001212211.

It is a super-2 number, since 2×112212100121222 (a number of 27 digits) contains 22 as substring.

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 = 11221210012095 and 11221210012104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59311297 + ... + 59500187.

It is an arithmetic number, because the mean of its divisors is an integer number (290840790240).

Almost surely, 211221210012122 is an apocalyptic number.

11221210012122 is an abundant number, since it is smaller than the sum of its proper divisors (16699505850918).

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

11221210012122 is a wasteful number, since it uses less digits than its factorization.

11221210012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204720 (or 204717 counting only the distinct ones).

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

Adding to 11221210012122 its reverse (22121001212211), we get a palindrome (33342211224333).

It can be divided in two parts, 11 and 221210012122, that multiplied together give a palindrome (2433310133342).

The spelling of 11221210012122 in words is "eleven trillion, two hundred twenty-one billion, two hundred ten million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 15791 31582 47373 94746 142119 173701 188891 284238 300029 347402 377782 521103 566673 600058 900087 1042206 1133346 1563309 1700019 1800174 2077801 2700261 3126618 3300319 3400038 3588929 4155602 5400522 6233403 6600638 7177858 9900957 10766787 12466806 18700209 19801914 21533574 29702871 32300361 37400418 39478219 59405742 64600722 78956438 118434657 236869314 355303971 710607942 2982777781 5965555562 8948333343 17896666686 26845000029 32810555591 53690000058 56672777839 65621111182 98431666773 113345555678 170018333517 196863333546 295295000319 340036667034 510055000551 590590000638 623400556229 1020110001102 1246801112458 1870201668687 3740403337374 5610605006061 11221210012122