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121102120111221 = 3329618330547949
BaseRepresentation
bin11011100010010001001000…
…110110011100110001110101
3120212210020201222012121112000
4123202101020312130301311
5111333114120222024341
61105321313531445513
734336224300440034
oct3342211066346165
9525706658177460
10121102120111221
113565013674a137
12116ba49abb6899
135275b5b514a12
1421c9533d3a71b
15e002262e28b6
hex6e2448d9cc75

121102120111221 has 64 divisors (see below), whose sum is σ = 190912468320000. Its totient is φ = 75749135696640.

The previous prime is 121102120111169. The next prime is 121102120111241. The reversal of 121102120111221 is 122111021201121.

It is a happy number.

121102120111221 is a `hidden beast` number, since 1 + 211 + 0 + 2 + 120 + 111 + 221 = 666.

It is not a de Polignac number, because 121102120111221 - 218 = 121102119849077 is a prime.

It is a super-2 number, since 2×1211021201112212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121102120111194 and 121102120111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121102120111241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11309646 + ... + 19238303.

It is an arithmetic number, because the mean of its divisors is an integer number (2983007317500).

Almost surely, 2121102120111221 is an apocalyptic number.

It is an amenable number.

121102120111221 is a deficient number, since it is larger than the sum of its proper divisors (69810348208779).

121102120111221 is a wasteful number, since it uses less digits than its factorization.

121102120111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30548131 (or 30548125 counting only the distinct ones).

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

Adding to 121102120111221 its reverse (122111021201121), we get a palindrome (243213141312342).

The spelling of 121102120111221 in words is "one hundred twenty-one trillion, one hundred two billion, one hundred twenty million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 27 29 61 83 87 183 249 261 549 747 783 1647 1769 2241 2407 5063 5307 7221 15189 15921 21663 45567 47763 64989 136701 146827 440481 1321443 3964329 30547949 91643847 274931541 824794623 885890521 1863424889 2535479767 2657671563 5590274667 7606439301 7973014689 16770824001 22819317903 23919044067 50312472003 54039321781 68457953709 73528913243 154664265787 162117965343 220586739729 463992797361 486353896029 661760219187 1391978392083 1459061688087 1985280657561 4175935176249 4485263707823 13455791123469 40367373370407 121102120111221