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212110022012121 = 321912178369121787
BaseRepresentation
bin110000001110100110110110…
…100000111110110011011001
31000211000112001010112110200200
4300032212312200332303121
5210300202311113341441
62031041555433052413
762451305036110002
oct6016466640766331
91024015033473620
10212110022012121
116164839a8022a2
121b958415257109
139147b738b488c
143a542736b61a9
15197c705ea47b6
hexc0e9b683ecd9

212110022012121 has 48 divisors (see below), whose sum is σ = 322812685540800. Its totient is φ = 133837054009344.

The previous prime is 212110022012111. The next prime is 212110022012177. The reversal of 212110022012121 is 121210220011212.

212110022012121 is a `hidden beast` number, since 21 + 211 + 0 + 0 + 220 + 1 + 212 + 1 = 666.

It is not a de Polignac number, because 212110022012121 - 25 = 212110022012089 is a prime.

It is a super-2 number, since 2×2121100220121212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212110022012094 and 212110022012103.

It is not an unprimeable number, because it can be changed into a prime (212110022012101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1741586590 + ... + 1741708376.

It is an arithmetic number, because the mean of its divisors is an integer number (6725264282100).

Almost surely, 2212110022012121 is an apocalyptic number.

It is an amenable number.

212110022012121 is a deficient number, since it is larger than the sum of its proper divisors (110702663528679).

212110022012121 is a wasteful number, since it uses less digits than its factorization.

212110022012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131398 (or 131395 counting only the distinct ones).

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

Adding to 212110022012121 its reverse (121210220011212), we get a palindrome (333320242023333).

The spelling of 212110022012121 in words is "two hundred twelve trillion, one hundred ten billion, twenty-two million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 19 57 171 1217 3651 8369 10953 23123 25107 69369 75321 121787 159011 208107 365361 477033 1096083 1431099 2313953 6941859 10185073 20825577 30555219 91665657 148214779 193516387 444644337 580549161 1019235403 1333933011 1741647483 2816080801 3057706209 8448242403 9173118627 19365472657 25344727209 58096417971 174289253913 1240409485451 3721228456353 11163685369059 23567780223569 70703340670707 212110022012121