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12122004405 = 3572179199463
BaseRepresentation
bin10110100101000011…
…10001101110110101
31011021210200121221010
423102201301232311
5144311213120110
65322504342433
7606252223500
oct132241615665
934253617833
1012122004405
115160612365
122423774a19
1311b2510b94
1482dcda137
154ae320020
hex2d2871bb5

12122004405 has 96 divisors (see below), whose sum is σ = 22851072000. Its totient is φ = 5470996608.

The previous prime is 12122004403. The next prime is 12122004407. The reversal of 12122004405 is 50440022121.

It is an interprime number because it is at equal distance from previous prime (12122004403) and next prime (12122004407).

It is not a de Polignac number, because 12122004405 - 21 = 12122004403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122004403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26181204 + ... + 26181666.

It is an arithmetic number, because the mean of its divisors is an integer number (238032000).

Almost surely, 212122004405 is an apocalyptic number.

12122004405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12122004405 is a deficient number, since it is larger than the sum of its proper divisors (10729067595).

12122004405 is a wasteful number, since it uses less digits than its factorization.

12122004405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 12122004405 its reverse (50440022121), we get a palindrome (62562026526).

The spelling of 12122004405 in words is "twelve billion, one hundred twenty-two million, four thousand, four hundred five".

Divisors: 1 3 5 7 15 21 35 49 105 147 179 199 245 463 537 597 735 895 995 1253 1389 1393 2315 2685 2985 3241 3759 4179 6265 6945 6965 8771 9723 9751 16205 18795 20895 22687 26313 29253 35621 43855 48615 48755 68061 82877 92137 106863 113435 131565 146265 178105 248631 249347 276411 340305 414385 460685 534315 580139 644959 748041 1243155 1246735 1382055 1740417 1745429 1934877 2900695 3224795 3740205 4060973 4514713 5236287 8702085 8727145 9674385 12182919 13544139 16492523 20304865 22573565 26181435 49477569 60914595 67720695 82462615 115447661 247387845 346342983 577238305 808133627 1731714915 2424400881 4040668135 12122004405