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12122134212 = 22329113308263
BaseRepresentation
bin10110100101000100…
…10001011011000100
31011021210221012222210
423102202101123010
5144311231243322
65322511223420
7606253304106
oct132242213304
934253835883
1012122134212
1151606a0941
122423817b70
1311b2557ca6
1482dd31576
154ae34870c
hex2d28916c4

12122134212 has 48 divisors (see below), whose sum is σ = 29519360640. Its totient is φ = 3866838528.

The previous prime is 12122134187. The next prime is 12122134237. The reversal of 12122134212 is 21243122121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12122134187) and next prime (12122134237).

It is a super-2 number, since 2×121221342122 (a number of 21 digits) contains 22 as substring.

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

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, 114808 + ... + 193455.

It is an arithmetic number, because the mean of its divisors is an integer number (614986680).

Almost surely, 212122134212 is an apocalyptic number.

12122134212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122134212 is an abundant number, since it is smaller than the sum of its proper divisors (17397226428).

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

12122134212 is a wasteful number, since it uses less digits than its factorization.

12122134212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308412 (or 308410 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

Adding to 12122134212 its reverse (21243122121), we get a palindrome (33365256333).

The spelling of 12122134212 in words is "twelve billion, one hundred twenty-two million, one hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 113 116 174 226 339 348 452 678 1356 3277 6554 9831 13108 19662 39324 308263 616526 924789 1233052 1849578 3699156 8939627 17879254 26818881 34833719 35758508 53637762 69667438 104501157 107275524 139334876 209002314 418004628 1010177851 2020355702 3030533553 4040711404 6061067106 12122134212