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210122212200012 = 22337972865354991
BaseRepresentation
bin101111110001101011100011…
…110100010100111001001100
31000112222111011020200022211000
4233301223203310110321030
5210020120242310400022
62022520451154100300
762154554204355210
oct5761534364247114
91015874136608730
10210122212200012
1160a51369a04062
121b69711387a690
139032593a15148
1439c5d7dbd0940
151945b632b46ac
hexbf1ae3d14e4c

210122212200012 has 96 divisors (see below), whose sum is σ = 629002727843840. Its totient is φ = 59416001072640.

The previous prime is 210122212200011. The next prime is 210122212200053. The reversal of 210122212200012 is 210002212221012.

It is a happy number.

210122212200012 is a `hidden beast` number, since 210 + 1 + 2 + 221 + 220 + 0 + 0 + 12 = 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 (210122212200011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432604164 + ... + 1432750827.

Almost surely, 2210122212200012 is an apocalyptic number.

It is an amenable number.

210122212200012 is an abundant number, since it is smaller than the sum of its proper divisors (418880515643828).

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

210122212200012 is a wasteful number, since it uses less digits than its factorization.

210122212200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865355108 (or 2865355100 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210122212200012 its reverse (210002212221012), we get a palindrome (420124424421024).

The spelling of 210122212200012 in words is "two hundred ten trillion, one hundred twenty-two billion, two hundred twelve million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 97 108 126 189 194 252 291 378 388 582 679 756 873 1164 1358 1746 2037 2619 2716 3492 4074 5238 6111 8148 10476 12222 18333 24444 36666 73332 2865354991 5730709982 8596064973 11461419964 17192129946 20057484937 25788194919 34384259892 40114969874 51576389838 60172454811 77364584757 80229939748 103152779676 120344909622 154729169514 180517364433 240689819244 277939434127 309458339028 361034728866 541552093299 555878868254 722069457732 833818302381 1083104186598 1111757736508 1667636604762 1945576038889 2166208373196 2501454907143 3335273209524 3891152077778 5002909814286 5836728116667 7504364721429 7782304155556 10005819628572 11673456233334 15008729442858 17510184350001 23346912466668 30017458885716 35020368700002 52530553050003 70040737400004 105061106100006 210122212200012