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12020202122121 = 3229136273337957
BaseRepresentation
bin1010111011101010101111…
…1000001010101110001001
31120120010020112221020110200
42232322223320022232021
53033414333220401441
641322000555402413
72350300546142514
oct256725370125611
946503215836420
1012020202122121
1139148148061a6
121421719453409
13692666c156bb
142d7ad0a79d7b
1515ca167b47b6
hexaeeabe0ab89

12020202122121 has 24 divisors (see below), whose sum is σ = 17961406511880. Its totient is φ = 7737061925376.

The previous prime is 12020202122111. The next prime is 12020202122147. The reversal of 12020202122121 is 12122120202021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1136398640400 + 10883803481721 = 1066020^2 + 3299061^2 .

It is not a de Polignac number, because 12020202122121 - 210 = 12020202121097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12020202122094 and 12020202122103.

It is not an unprimeable number, because it can be changed into a prime (12020202122111) 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, 35398275 + ... + 35736231.

It is an arithmetic number, because the mean of its divisors is an integer number (748391937995).

Almost surely, 212020202122121 is an apocalyptic number.

It is an amenable number.

12020202122121 is a deficient number, since it is larger than the sum of its proper divisors (5941204389759).

12020202122121 is a wasteful number, since it uses less digits than its factorization.

12020202122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474265 (or 474262 counting only the distinct ones).

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

Adding to 12020202122121 its reverse (12122120202021), we get a palindrome (24142322324142).

The spelling of 12020202122121 in words is "twelve trillion, twenty billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 29 87 261 136273 337957 408819 1013871 1226457 3041613 3951917 9800753 11855751 29402259 35567253 88206777 46054414261 138163242783 414489728349 1335578013569 4006734040707 12020202122121