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211210122120012 = 22351991091931479
BaseRepresentation
bin110000000001100000110000…
…010011010100101101001100
31000200211111020120010101200000
4300001200300103110231030
5210140431312230320022
62025112331323204300
762326266502201131
oct6001406023245514
91020744216111600
10211210122120012
1161330789777aa4
121b831b2a676690
1390b104baa9412
143a228a570c588
1519640d764e6ac
hexc018304d4b4c

211210122120012 has 72 divisors (see below), whose sum is σ = 556448282208000. Its totient is φ = 70049588176656.

The previous prime is 211210122119993. The next prime is 211210122120037. The reversal of 211210122120012 is 210021221012112.

211210122120012 is a `hidden beast` number, since 21 + 1 + 210 + 1 + 221 + 200 + 12 = 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545772312 + ... + 546159167.

It is an arithmetic number, because the mean of its divisors is an integer number (7728448364000).

Almost surely, 2211210122120012 is an apocalyptic number.

It is an amenable number.

211210122120012 is an abundant number, since it is smaller than the sum of its proper divisors (345238160087988).

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

211210122120012 is a wasteful number, since it uses less digits than its factorization.

211210122120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091931697 (or 1091931683 counting only the distinct ones).

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

Adding to 211210122120012 its reverse (210021221012112), we get a palindrome (421231343132124).

The spelling of 211210122120012 in words is "two hundred eleven trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 199 243 324 398 486 597 796 972 1194 1791 2388 3582 5373 7164 10746 16119 21492 32238 48357 64476 96714 193428 1091931479 2183862958 3275794437 4367725916 6551588874 9827383311 13103177748 19654766622 29482149933 39309533244 58964299866 88446449799 117928599732 176892899598 217294364321 265339349397 353785799196 434588728642 530678698794 651883092963 869177457284 1061357397588 1303766185926 1955649278889 2607532371852 3911298557778 5866947836667 7822597115556 11733895673334 17600843510001 23467791346668 35201687020002 52802530530003 70403374040004 105605061060006 211210122120012