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212101200120120 = 23353894543727509
BaseRepresentation
bin110000001110011110101000…
…101100001000100100111000
31000210222200021022120220220220
4300032132220230020210320
5210300031224212320440
62031033540213220040
762450543315214153
oct6016365054104470
91023880238526826
10212101200120120
1161644683001263
121b956772931620
139147098cc523c
143a53a77bc4c9a
15197c38b75a8d0
hexc0e7a8b08938

212101200120120 has 64 divisors (see below), whose sum is σ = 637939342404000. Its totient is φ = 56414920739328.

The previous prime is 212101200120101. The next prime is 212101200120127. The reversal of 212101200120120 is 21021002101212.

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 212101200120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101200120127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2271817075 + ... + 2271910434.

Almost surely, 2212101200120120 is an apocalyptic number.

212101200120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101200120120 is an abundant number, since it is smaller than the sum of its proper divisors (425838142283880).

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

212101200120120 is a wasteful number, since it uses less digits than its factorization.

212101200120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543727912 (or 4543727908 counting only the distinct ones).

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

Adding to 212101200120120 its reverse (21021002101212), we get a palindrome (233122202221332).

The spelling of 212101200120120 in words is "two hundred twelve trillion, one hundred one billion, two hundred million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 389 778 1167 1556 1945 2334 3112 3890 4668 5835 7780 9336 11670 15560 23340 46680 4543727509 9087455018 13631182527 18174910036 22718637545 27262365054 36349820072 45437275090 54524730108 68155912635 90874550180 109049460216 136311825270 181749100360 272623650540 545247301080 1767510001001 3535020002002 5302530003003 7070040004004 8837550005005 10605060006006 14140080008008 17675100010010 21210120012012 26512650015015 35350200020020 42420240024024 53025300030030 70700400040040 106050600060060 212101200120120