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212132203121121 = 31075647609119213
BaseRepresentation
bin110000001110111011100000…
…100111001100100111100001
31000211002122021222012120000020
4300032323200213030213201
5210301033222444333441
62031100104435144053
762453021514323163
oct6016734047144741
91024078258176006
10212132203121121
1161656842428838
121b960785745029
139149c9a10844a
143a5537951c933
15197d0a3459e66
hexc0eee09cc9e1

212132203121121 has 32 divisors (see below), whose sum is σ = 285598627411968. Its totient is φ = 140044676708160.

The previous prime is 212132203121117. The next prime is 212132203121123. The reversal of 212132203121121 is 121121302231212.

It is not a de Polignac number, because 212132203121121 - 22 = 212132203121117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212132203121091 and 212132203121100.

It is not an unprimeable number, because it can be changed into a prime (212132203121123) 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, 11041066911 + ... + 11041086123.

It is an arithmetic number, because the mean of its divisors is an integer number (8924957106624).

Almost surely, 2212132203121121 is an apocalyptic number.

It is an amenable number.

212132203121121 is a deficient number, since it is larger than the sum of its proper divisors (73466424290847).

212132203121121 is a wasteful number, since it uses less digits than its factorization.

212132203121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31061.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 212132203121121 its reverse (121121302231212), we get a palindrome (333253505352333).

The spelling of 212132203121121 in words is "two hundred twelve trillion, one hundred thirty-two billion, two hundred three million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 107 321 5647 6091 16941 18273 19213 57639 604229 651737 1812687 1955211 2055791 6167373 34395877 103187631 108495811 117026383 325487433 351079149 3680358839 11041076517 11609051777 12521822981 34827155331 37565468943 660847984801 1982543954403 70710734373707 212132203121121