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212002021112120 = 23528013440355001
BaseRepresentation
bin110000001101000010010001…
…001010001111100100111000
31000210122012021100210021222022
4300031002101022033210320
5210241420114401041440
62030520214535014012
762440432500442301
oct6015022112174470
91023565240707868
10212002021112120
1161606609044648
121b93b4b3b0a308
13913a9216084a5
143a4cd49bd57a8
1519799d4642cb5
hexc0d09128f938

212002021112120 has 64 divisors (see below), whose sum is σ = 477197391601440. Its totient is φ = 84766528000000.

The previous prime is 212002021112083. The next prime is 212002021112137. The reversal of 212002021112120 is 21211120200212.

It is a super-2 number, since 2×2120020211121202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 3854484620 + ... + 3854539620.

Almost surely, 2212002021112120 is an apocalyptic number.

212002021112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002021112120 is an abundant number, since it is smaller than the sum of its proper divisors (265195370489320).

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

212002021112120 is a wasteful number, since it uses less digits than its factorization.

212002021112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92216 (or 92212 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212002021112120 its reverse (21211120200212), we get a palindrome (233213141312332).

The spelling of 212002021112120 in words is "two hundred twelve trillion, two billion, twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2801 5602 11204 14005 22408 28010 34403 55001 56020 68806 110002 112040 137612 172015 220004 275005 275224 344030 440008 550010 688060 1100020 1376120 2200040 96362803 154057801 192725606 308115602 385451212 481814015 616231204 770289005 770902424 963628030 1232462408 1540578010 1892199403 1927256060 3081156020 3784398806 3854512120 6162312040 7568797612 9460997015 15137595224 18921994030 37843988060 75687976120 5300050527803 10600101055606 21200202111212 26500252639015 42400404222424 53000505278030 106001010556060 212002021112120