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12121220020221 = 3313227152129473
BaseRepresentation
bin1011000001100011000100…
…0000110111011111111101
31120220202222122221011102000
42300120301000313133331
53042043224311121341
641440224523452513
72360505063125124
oct260306100673775
946822878834360
1012121220020221
11395364277a1a4
121439210087139
1369c04558aac0
142dc954d86abb
1516047a0688b6
hexb06310377fd

12121220020221 has 32 divisors (see below), whose sum is σ = 19423891240320. Its totient is φ = 7426352305152.

The previous prime is 12121220020211. The next prime is 12121220020229. The reversal of 12121220020221 is 12202002212121.

It is a happy number.

12121220020221 is a `hidden beast` number, since 1 + 212 + 12 + 200 + 20 + 221 = 666.

It is not a de Polignac number, because 12121220020221 - 26 = 12121220020157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12121220020194 and 12121220020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121220020229) 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 31 ways as a sum of consecutive naturals, for example, 75985060 + ... + 76144413.

It is an arithmetic number, because the mean of its divisors is an integer number (606996601260).

Almost surely, 212121220020221 is an apocalyptic number.

It is an amenable number.

12121220020221 is a deficient number, since it is larger than the sum of its proper divisors (7302671220099).

12121220020221 is a wasteful number, since it uses less digits than its factorization.

12121220020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152129722 (or 152129716 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12121220020221 its reverse (12202002212121), we get a palindrome (24323222232342).

The spelling of 12121220020221 in words is "twelve trillion, one hundred twenty-one billion, two hundred twenty million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 227 351 681 2043 2951 6129 8853 26559 79677 152129473 456388419 1369165257 1977683149 4107495771 5933049447 17799148341 34533390371 53397445023 103600171113 310800513339 448934074823 932401540017 1346802224469 4040406673407 12121220020221