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12122121111221 = 112293454579969
BaseRepresentation
bin1011000001100110011010…
…1110010000011010110101
31120220212022110111022212202
42300121212232100122311
53042102101001024341
641440454153154245
72360536314226442
oct260314656203265
946825273438782
1012122121111221
113953a65387200
1214394219bb985
1369c15a176c44
142dc9dc9089c9
151604ce20d79b
hexb0666b906b5

12122121111221 has 12 divisors (see below), whose sum is σ = 13783774080300. Its totient is φ = 10640106301440.

The previous prime is 12122121111211. The next prime is 12122121111229. The reversal of 12122121111221 is 12211112122121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5263876730596 + 6858244380625 = 2294314^2 + 2618825^2 .

It is not a de Polignac number, because 12122121111221 - 218 = 12122120849077 is a prime.

It is a super-2 number, since 2×121221211112212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12122121111193 and 12122121111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122121111229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1727286476 + ... + 1727293493.

It is an arithmetic number, because the mean of its divisors is an integer number (1148647840025).

Almost surely, 212122121111221 is an apocalyptic number.

12122121111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122121111221 is a deficient number, since it is larger than the sum of its proper divisors (1661652969079).

12122121111221 is a wasteful number, since it uses less digits than its factorization.

12122121111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454580020 (or 3454580009 counting only the distinct ones).

The product of its digits is 64, while the sum is 20.

Adding to 12122121111221 its reverse (12211112122121), we get a palindrome (24333233233342).

The spelling of 12122121111221 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 29 121 319 3509 3454579969 38000379659 100182819101 418004176249 1102011010111 12122121111221