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212011001120120 = 235411269710181539
BaseRepresentation
bin110000001101001010101000…
…011010010000010101111000
31000210200001110012020222010012
4300031022220122100111320
5210242042012241320440
62030524302003441052
762441201151316526
oct6015125032202570
91023601405228105
10212011001120120
116160a3a7020564
121b94119b386188
13913b722ba8ba7
143a4d55c6c5316
151979d5cbc0e65
hexc0d2a8690578

212011001120120 has 64 divisors (see below), whose sum is σ = 488698036797600. Its totient is φ = 82729476126720.

The previous prime is 212011001120099. The next prime is 212011001120129. The reversal of 212011001120120 is 21021100110212.

It is a junction number, because it is equal to n+sod(n) for n = 212011001120095 and 212011001120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011001120129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15732311 + ... + 25913849.

Almost surely, 2212011001120120 is an apocalyptic number.

212011001120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011001120120 is an abundant number, since it is smaller than the sum of its proper divisors (276687035677480).

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

212011001120120 is a wasteful number, since it uses less digits than its factorization.

212011001120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10194288 (or 10194284 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212011001120120 its reverse (21021100110212), we get a palindrome (233032101230332).

The spelling of 212011001120120 in words is "two hundred twelve trillion, eleven billion, one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 12697 25394 50788 63485 101576 126970 253940 507880 520577 1041154 2082308 2602885 4164616 5205770 10181539 10411540 20363078 20823080 40726156 50907695 81452312 101815390 203630780 407261560 417443099 834886198 1669772396 2087215495 3339544792 4174430990 8348861980 16697723960 129275000683 258550001366 517100002732 646375003415 1034200005464 1292750006830 2585500013660 5171000027320 5300275028003 10600550056006 21201100112012 26501375140015 42402200224024 53002750280030 106005500560060 212011001120120