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12210212120121 = 335325759331249
BaseRepresentation
bin1011000110101110100101…
…0110110010011000111001
31121020021200200021020112000
42301223221112302120321
53100023003300320441
641545143301211213
72400105303365331
oct261535126623071
947207620236460
1012210212120121
11398835a470aa4
121452507400b09
136a7558638092
14302d9807c0c1
15162937ba32b6
hexb1ae95b2639

12210212120121 has 32 divisors (see below), whose sum is σ = 18431280000000. Its totient is φ = 7986219681024.

The previous prime is 12210212120089. The next prime is 12210212120129. The reversal of 12210212120121 is 12102121201221.

12210212120121 is a `hidden beast` number, since 1 + 2 + 210 + 212 + 120 + 121 = 666.

It is not a de Polignac number, because 12210212120121 - 25 = 12210212120089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12210212120094 and 12210212120103.

It is not an unprimeable number, because it can be changed into a prime (12210212120129) 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, 36695505 + ... + 37026753.

It is an arithmetic number, because the mean of its divisors is an integer number (575977500000).

Almost surely, 212210212120121 is an apocalyptic number.

It is an amenable number.

12210212120121 is a deficient number, since it is larger than the sum of its proper divisors (6221067879879).

12210212120121 is a wasteful number, since it uses less digits than its factorization.

12210212120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357070 (or 357064 counting only the distinct ones).

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

Adding to 12210212120121 its reverse (12102121201221), we get a palindrome (24312333321342).

It can be divided in two parts, 1 and 2210212120121, that added together give a palindrome (2210212120122).

The spelling of 12210212120121 in words is "twelve trillion, two hundred ten billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 27 53 159 477 1431 25759 77277 231831 331249 695493 993747 1365227 2981241 4095681 8943723 12287043 17556197 36861129 52668591 158005773 474017319 8532642991 25597928973 76793786919 230381360757 452230078523 1356690235569 4070070706707 12210212120121