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1122121102212 = 223211130114531499
BaseRepresentation
bin10000010101000011101…
…000010011001110000100
310222021101112211012012200
4100111003220103032010
5121341101000232322
62215254553314500
7144033130664625
oct20250350231604
93867345735180
101122121102212
113a2986121550
12161584105a30
1381a7aa4ba76
143c44d36da4c
151e2c7a518ac
hex10543a13384

1122121102212 has 144 divisors (see below), whose sum is σ = 3100910904000. Its totient is φ = 339314976000.

The previous prime is 1122121102189. The next prime is 1122121102217. The reversal of 1122121102212 is 2122011212211.

1122121102212 is a `hidden beast` number, since 11 + 221 + 211 + 0 + 221 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1122121102217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748579039 + ... + 748580537.

It is an arithmetic number, because the mean of its divisors is an integer number (21534103500).

Almost surely, 21122121102212 is an apocalyptic number.

1122121102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1122121102212 is an abundant number, since it is smaller than the sum of its proper divisors (1978789801788).

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

1122121102212 is a wasteful number, since it uses less digits than its factorization.

1122121102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4269 counting only the distinct ones).

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

Adding to 1122121102212 its reverse (2122011212211), we get a palindrome (3244132314423).

The spelling of 1122121102212 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1301 1453 1499 2602 2906 2998 3903 4359 4497 5204 5812 5996 7806 8718 8994 11709 13077 13491 14311 15612 15983 16489 17436 17988 23418 26154 26982 28622 31966 32978 42933 46836 47949 49467 52308 53964 57244 63932 65956 85866 95898 98934 128799 143847 148401 171732 191796 197868 257598 287694 296802 515196 575388 593604 1890353 1950199 2178047 3780706 3900398 4356094 5671059 5850597 6534141 7561412 7800796 8712188 11342118 11701194 13068282 17013177 17551791 19602423 20793883 21452189 22684236 23402388 23958517 26136564 34026354 35103582 39204846 41587766 42904378 47917034 62381649 64356567 68052708 70207164 71875551 78409692 83175532 85808756 95834068 124763298 128713134 143751102 187144947 193069701 215626653 249526596 257426268 287502204 374289894 386139402 431253306 748579788 772278804 862506612 2833639147 5667278294 8500917441 11334556588 17001834882 25502752323 31170030617 34003669764 51005504646 62340061234 93510091851 102011009292 124680122468 187020183702 280530275553 374040367404 561060551106 1122121102212