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12122122122 = 2331120407613
BaseRepresentation
bin10110100101000100…
…01110011110001010
31011021210220121102000
423102202032132022
5144311230401442
65322511051430
7606253223625
oct132242163612
934253817360
1012122122122
115160692850
122423810b76
1311b2552636
1482dd2adbc
154ae344d4c
hex2d288e78a

12122122122 has 32 divisors (see below), whose sum is σ = 29386964160. Its totient is φ = 3673370160.

The previous prime is 12122122081. The next prime is 12122122157. The reversal of 12122122122 is 22122122121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12122122095 and 12122122104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10203213 + ... + 10204400.

It is an arithmetic number, because the mean of its divisors is an integer number (918342630).

Almost surely, 212122122122 is an apocalyptic number.

12122122122 is an abundant number, since it is smaller than the sum of its proper divisors (17264842038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12122122122 is a wasteful number, since it uses less digits than its factorization.

12122122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20407635 (or 20407629 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

Adding to 12122122122 its reverse (22122122121), we get a palindrome (34244244243).

Subtracting 12122122122 from its reverse (22122122121), we obtain a palindrome (9999999999).

It can be divided in two parts, 121 and 22122122, that multiplied together give a palindrome (2676776762).

The spelling of 12122122122 in words is "twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 20407613 40815226 61222839 122445678 183668517 224483743 367337034 448967486 551005551 673451229 1102011102 1346902458 2020353687 4040707374 6061061061 12122122122