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12202011221121 = 3683281971537
BaseRepresentation
bin1011000110010000000010…
…0010110101110010000001
31121012111112010211102000000
42301210000202311302001
53044404204333033441
641541305423350213
72366365133034651
oct261440042656201
947174463742000
1012202011221121
113984931257217
1214509b8a52369
136a684c5b4717
1430281ac3a361
15162607c222b6
hexb19008b5c81

12202011221121 has 56 divisors (see below), whose sum is σ = 18521892133920. Its totient is φ = 8033702829696.

The previous prime is 12202011221033. The next prime is 12202011221123. The reversal of 12202011221121 is 12112211020221.

12202011221121 is a `hidden beast` number, since 1 + 220 + 201 + 1 + 221 + 1 + 21 = 666.

It is not a de Polignac number, because 12202011221121 - 238 = 11927133314177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12202011221094 and 12202011221103.

It is not an unprimeable number, because it can be changed into a prime (12202011221123) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 170533465 + ... + 170605001.

It is an arithmetic number, because the mean of its divisors is an integer number (330748073820).

Almost surely, 212202011221121 is an apocalyptic number.

It is an amenable number.

12202011221121 is a deficient number, since it is larger than the sum of its proper divisors (6319880912799).

12202011221121 is an frugal number, since it uses more digits than its factorization.

12202011221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74457 (or 74442 counting only the distinct ones).

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

Adding to 12202011221121 its reverse (12112211020221), we get a palindrome (24314222241342).

The spelling of 12202011221121 in words is "twelve trillion, two hundred two billion, eleven million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 83 243 249 729 747 2241 2819 6723 8457 20169 25371 60507 71537 76113 214611 228339 233977 643833 685017 701931 1931499 2055051 2105793 5794497 5937571 6317379 17383491 17812713 18952137 52150473 53438139 56856411 160314417 170569233 201662803 480943251 604988409 1442829753 1814965227 4328489259 5444895681 16334687043 16738012649 49004061129 50214037947 147012183387 150642113841 451926341523 1355779024569 4067337073707 12202011221121