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121002111122211 = 3511217242076361
BaseRepresentation
bin11011100000110011111111…
…110110011011101100100011
3120212102200121011122120200000
4123200303333312123230203
5111324444310421402321
61105203334044031043
734326054054162354
oct3340637766335443
9525380534576600
10121002111122211
1135611786234500
12116a302a232483
1352695b0ba8947
1421c4767a19d2b
15dec8213ce826
hex6e0cffd9bb23

121002111122211 has 72 divisors (see below), whose sum is σ = 210949215068592. Its totient is φ = 69020811763200.

The previous prime is 121002111122129. The next prime is 121002111122219. The reversal of 121002111122211 is 112221111200121.

It is a happy number.

121002111122211 is a `hidden beast` number, since 1 + 210 + 0 + 211 + 11 + 22 + 211 = 666.

It is not a de Polignac number, because 121002111122211 - 213 = 121002111114019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121002111122219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120538330 + ... + 121538031.

It is an arithmetic number, because the mean of its divisors is an integer number (2929850209286).

Almost surely, 2121002111122211 is an apocalyptic number.

121002111122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121002111122211 is a deficient number, since it is larger than the sum of its proper divisors (89947103946381).

121002111122211 is a wasteful number, since it uses less digits than its factorization.

121002111122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242076415 (or 242076392 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121002111122211 its reverse (112221111200121), we get a palindrome (233223222322332).

The spelling of 121002111122211 in words is "one hundred twenty-one trillion, two billion, one hundred eleven million, one hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 9 11 17 27 33 51 81 99 121 153 187 243 297 363 459 561 891 1089 1377 1683 2057 2673 3267 4131 5049 6171 9801 15147 18513 29403 45441 55539 166617 499851 242076361 726229083 2178687249 2662839971 4115298137 6536061747 7988519913 12345894411 19608185241 23965559739 29291239681 37037683233 45268279507 58824555723 71896679217 87873719043 111113049699 135804838521 215690037651 263621157129 333339149097 407414515563 497951074577 647070112953 790863471387 1000017447291 1222243546689 1493853223731 2372590414161 3666730640067 4481559671193 7117771242483 11000191920201 13444679013579 40334037040737 121002111122211