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122020201111212 = 223237449204023959
BaseRepresentation
bin11011101111101000001010…
…101111100001111010101100
3121000001000110121120122212200
4123233220022233201322230
5111443134332441024322
61111303150113501500
734462445222252205
oct3357501257417254
9530030417518780
10122020201111212
1135974527515928
12118283ba571890
1353115bcc21991
14221bb487d65ac
15e1905ad778ac
hex6efa0abe1eac

122020201111212 has 72 divisors (see below), whose sum is σ = 317481684156000. Its totient is φ = 39485980735488.

The previous prime is 122020201111189. The next prime is 122020201111213. The reversal of 122020201111212 is 212111102020221.

122020201111212 is a `hidden beast` number, since 1 + 220 + 20 + 201 + 1 + 11 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122020201111213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101413912 + ... + 102610047.

It is an arithmetic number, because the mean of its divisors is an integer number (4409467835500).

Almost surely, 2122020201111212 is an apocalyptic number.

122020201111212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122020201111212 is an abundant number, since it is smaller than the sum of its proper divisors (195461483044788).

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

122020201111212 is a wasteful number, since it uses less digits than its factorization.

122020201111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204024455 (or 204024450 counting only the distinct ones).

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

Adding to 122020201111212 its reverse (212111102020221), we get a palindrome (334131303131433).

Subtracting 122020201111212 from its reverse (212111102020221), we obtain a palindrome (90090900909009).

The spelling of 122020201111212 in words is "one hundred twenty-two trillion, twenty billion, two hundred one million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 449 666 898 1332 1347 1796 2694 4041 5388 8082 16164 16613 33226 49839 66452 99678 149517 199356 299034 598068 204023959 408047918 612071877 816095836 1224143754 1836215631 2448287508 3672431262 7344862524 7548886483 15097772966 22646659449 30195545932 45293318898 67939978347 90586637796 91606757591 135879956694 183213515182 271759913388 274820272773 366427030364 549640545546 824460818319 1099281091092 1648921636638 3297843273276 3389450030867 6778900061734 10168350092601 13557800123468 20336700185202 30505050277803 40673400370404 61010100555606 122020201111212