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12122276208 = 2437231166259
BaseRepresentation
bin10110100101000101…
…10100000101110000
31011021211012102202220
423102202310011300
5144311300314313
65322514241040
7606254435100
oct132242640560
934254172686
1012122276208
115160788599
122423886180
1311b25a7803
1482dd6b200
154ae375823
hex2d28b4170

12122276208 has 120 divisors (see below), whose sum is σ = 37604021760. Its totient is φ = 3351761280.

The previous prime is 12122276197. The next prime is 12122276233. The reversal of 12122276208 is 80267222121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10218 + ... + 156041.

It is an arithmetic number, because the mean of its divisors is an integer number (313366848).

Almost surely, 212122276208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122276208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802010880).

12122276208 is an abundant number, since it is smaller than the sum of its proper divisors (25481745552).

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

12122276208 is a wasteful number, since it uses less digits than its factorization.

12122276208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166315 (or 166302 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

Adding to 12122276208 its reverse (80267222121), we get a palindrome (92389498329).

The spelling of 12122276208 in words is "twelve billion, one hundred twenty-two million, two hundred seventy-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 744 784 868 1176 1302 1488 1519 1736 2352 2604 3038 3472 4557 5208 6076 9114 10416 12152 18228 24304 36456 72912 166259 332518 498777 665036 997554 1163813 1330072 1995108 2327626 2660144 3491439 3990216 4655252 5154029 6982878 7980432 8146691 9310504 10308058 13965756 15462087 16293382 18621008 20616116 24440073 27931512 30924174 32586764 36078203 41232232 48880146 55863024 61848348 65173528 72156406 82464464 97760292 108234609 123696696 130347056 144312812 195520584 216469218 247393392 252547421 288625624 391041168 432938436 505094842 577251248 757642263 865876872 1010189684 1515284526 1731753744 2020379368 3030569052 4040758736 6061138104 12122276208