Search a number
-
+
12121112022102 = 23213192011253871
BaseRepresentation
bin1011000001100010101010…
…0100111000110001010110
31120220202201010201021211200
42300120222210320301112
53042043014134201402
641440210105013330
72360502312141606
oct260305244706126
946822633637750
1012121112022102
113953597815656
12143919ba84246
1369c0290a69a5
142dc9448b2c06
1516047083421c
hexb062a938c56

12121112022102 has 48 divisors (see below), whose sum is σ = 26295493086720. Its totient is φ = 4035283959600.

The previous prime is 12121112022077. The next prime is 12121112022133. The reversal of 12121112022102 is 20122021112121.

12121112022102 is a `hidden beast` number, since 121 + 211 + 120 + 2 + 210 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47618227 + ... + 47872097.

It is an arithmetic number, because the mean of its divisors is an integer number (547822772640).

Almost surely, 212121112022102 is an apocalyptic number.

12121112022102 is an abundant number, since it is smaller than the sum of its proper divisors (14174381064618).

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

12121112022102 is a wasteful number, since it uses less digits than its factorization.

12121112022102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257209 (or 257206 counting only the distinct ones).

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

Adding to 12121112022102 its reverse (20122021112121), we get a palindrome (32243133134223).

The spelling of 12121112022102 in words is "twelve trillion, one hundred twenty-one billion, one hundred twelve million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 1319 2011 2638 3957 4022 6033 7914 11871 12066 18099 23742 36198 253871 507742 761613 1523226 2284839 2652509 4569678 5305018 7957527 15915054 23872581 47745162 334855849 510534581 669711698 1004567547 1021069162 1531603743 2009135094 3013702641 3063207486 4594811229 6027405282 9189622458 673395112339 1346790224678 2020185337017 4040370674034 6060556011051 12121112022102