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212120121010200 = 233521327194887309
BaseRepresentation
bin110000001110110000010000…
…011101100110100000011000
31000211001111002221120201122120
4300032300100131212200120
5210300334001434311300
62031050345513421240
762452113225142044
oct6016602035464030
91024044087521576
10212120121010200
1161651702393aa7
121b95a37340a820
139148ac2c547a0
143a54950a49024
15197cae78ba3a0
hexc0ec10766818

212120121010200 has 96 divisors (see below), whose sum is σ = 708154865552400. Its totient is φ = 52214183631360.

The previous prime is 212120121010169. The next prime is 212120121010271. The reversal of 212120121010200 is 2010121021212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212120121010200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13597435855 + ... + 13597451454.

Almost surely, 2212120121010200 is an apocalyptic number.

212120121010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120121010200 is an abundant number, since it is smaller than the sum of its proper divisors (496034744542200).

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

212120121010200 is a wasteful number, since it uses less digits than its factorization.

212120121010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27194887341 (or 27194887332 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212120121010200 its reverse (2010121021212), we get a palindrome (214130242031412).

The spelling of 212120121010200 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred twenty-one million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 27194887309 54389774618 81584661927 108779549236 135974436545 163169323854 217559098472 271948873090 326338647708 353533535017 407923309635 543897746180 652677295416 679872182725 707067070034 815846619270 1060600605051 1087795492360 1359744365450 1414134140068 1631693238540 1767667675085 2039616548175 2121201210102 2719488730900 2828268280136 3263386477080 3535335350170 4079233096350 4242402420204 5303003025255 5438977461800 7070670700340 8158466192700 8484804840408 8838338375425 10606006050510 14141341400680 16316932385400 17676676750850 21212012101020 26515015126275 35353353501700 42424024202040 53030030252550 70706707003400 106060060505100 212120121010200