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12122012211012 = 22321139777106151
BaseRepresentation
bin1011000001100110000000…
…1110110101011101000100
31120220212000212120121212200
42300121200032311131010
53042101340111223022
641440435303114500
72360533522465224
oct260314016653504
946825025517780
1012122012211012
113953a09966930
1214393b1442a30
1369c140738352
142dc9cc27c084
151604c489bbac
hexb06603b5744

12122012211012 has 72 divisors (see below), whose sum is σ = 33511567357632. Its totient is φ = 3664084248000.

The previous prime is 12122012210983. The next prime is 12122012211061. The reversal of 12122012211012 is 21011221022121.

12122012211012 is a `hidden beast` number, since 121 + 220 + 1 + 221 + 101 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38395864 + ... + 38710287.

Almost surely, 212122012211012 is an apocalyptic number.

12122012211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122012211012 is an abundant number, since it is smaller than the sum of its proper divisors (21389555146620).

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

12122012211012 is a wasteful number, since it uses less digits than its factorization.

12122012211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77106569 (or 77106564 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122012211012 its reverse (21011221022121), we get a palindrome (33133233233133).

The spelling of 12122012211012 in words is "twelve trillion, one hundred twenty-two billion, twelve million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 397 794 1191 1588 2382 3573 4367 4764 7146 8734 13101 14292 17468 26202 39303 52404 78606 157212 77106151 154212302 231318453 308424604 462636906 693955359 848167661 925273812 1387910718 1696335322 2544502983 2775821436 3392670644 5089005966 7633508949 10178011932 15267017898 30534035796 30611141947 61222283894 91833425841 122444567788 183666851682 275500277523 336722561417 367333703364 551000555046 673445122834 1010167684251 1102001110092 1346890245668 2020335368502 3030503052753 4040670737004 6061006105506 12122012211012