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122422101224221 = 17223311015882353
BaseRepresentation
bin11011110101011110011101…
…110110110010101100011101
3121001110102211201112202220101
4123311132131312302230131
5112021230430403133341
61112211534212021101
734533463535663251
oct3365363566625435
9531412751482811
10122422101224221
1136009a15670257
1211892282001791
13534047c103136
142233393092261
15e2472e4a2831
hex6f579ddb2b1d

122422101224221 has 48 divisors (see below), whose sum is σ = 141465625463808. Its totient is φ = 105599983104000.

The previous prime is 122422101224201. The next prime is 122422101224231.

It is a happy number.

122422101224221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122422101224221 - 225 = 122422067669789 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122422101224221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122422101224201) 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, 17870581 + ... + 23752933.

It is an arithmetic number, because the mean of its divisors is an integer number (2947200530496).

Almost surely, 2122422101224221 is an apocalyptic number.

It is an amenable number.

122422101224221 is a deficient number, since it is larger than the sum of its proper divisors (19043524239587).

122422101224221 is a wasteful number, since it uses less digits than its factorization.

122422101224221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882542 (or 5882525 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 12242210 and 1224221, that added together give a palindrome (13466431).

The spelling of 122422101224221 in words is "one hundred twenty-two trillion, four hundred twenty-two billion, one hundred one million, two hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 17 23 31 101 289 391 527 713 1717 2323 3131 6647 8959 12121 29189 39491 53227 72013 206057 671347 904859 1224221 5882353 20811757 100000001 135294119 182352943 594117653 1700000017 2300000023 3100000031 4194117689 10100000101 13664706019 18417647243 39100000391 52700000527 71300000713 171700001717 232300002323 313100003131 423605886589 1212100012121 3949100039491 5322700053227 7201300072013 122422101224221