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122111102221 = 1731348747123
BaseRepresentation
bin111000110111001100…
…0111000110100001101
3102200012010120201022121
41301232120320310031
54000040420232341
6132032544412541
711552012146243
oct1615630706415
9380163521277
10122111102221
11478725964a9
121b7ba917151
13b690691694
145ca5882793
15329a4b24d1
hex1c6e638d0d

122111102221 has 16 divisors (see below), whose sum is σ = 129976285824. Its totient is φ = 114323249664.

The previous prime is 122111102207. The next prime is 122111102231. The reversal of 122111102221 is 122201111221.

It is a cyclic number.

It is not a de Polignac number, because 122111102221 - 25 = 122111102189 is a prime.

It is a super-2 number, since 2×1221111022212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111102195 and 122111102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111102231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2567766 + ... + 2614888.

It is an arithmetic number, because the mean of its divisors is an integer number (8123517864).

Almost surely, 2122111102221 is an apocalyptic number.

It is an amenable number.

122111102221 is a deficient number, since it is larger than the sum of its proper divisors (7865183603).

122111102221 is a wasteful number, since it uses less digits than its factorization.

122111102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47940.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122111102221 its reverse (122201111221), we get a palindrome (244312213442).

The spelling of 122111102221 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 17 313 487 5321 8279 47123 152431 801091 2591327 14749499 22948901 250741483 390131317 7183006013 122111102221