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212211000112120 = 23547402128072169
BaseRepresentation
bin110000010000000100111001…
…010001110111001111111000
31000211101011200110122102220021
4300100010321101313033320
5210303331112012041440
62031200215420140224
762461511260565002
oct6020047121671770
91024334613572807
10212211000112120
11616871a82633a9
121b973ab6697674
139154546c342c9
143a590d25c3372
151980165ee684a
hexc101394773f8

212211000112120 has 64 divisors (see below), whose sum is σ = 487755076636800. Its totient is φ = 83057684904960.

The previous prime is 212211000112099. The next prime is 212211000112121. The reversal of 212211000112120 is 21211000112212.

It is a junction number, because it is equal to n+sod(n) for n = 212211000112094 and 212211000112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211000112121) 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, 6476605 + ... + 21595564.

It is an arithmetic number, because the mean of its divisors is an integer number (7621173072450).

Almost surely, 2212211000112120 is an apocalyptic number.

212211000112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211000112120 is an abundant number, since it is smaller than the sum of its proper divisors (275544076524680).

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

212211000112120 is a wasteful number, since it uses less digits than its factorization.

212211000112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28076248 (or 28076244 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212211000112120 its reverse (21211000112212), we get a palindrome (233422000224332).

The spelling of 212211000112120 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 4021 8042 16084 20105 32168 40210 80420 160840 188987 377974 755948 944935 1511896 1889870 3779740 7559480 28072169 56144338 112288676 140360845 224577352 280721690 561443380 1122886760 1319391943 2638783886 5277567772 6596959715 10555135544 13193919430 26387838860 52775677720 112878191549 225756383098 451512766196 564390957745 903025532392 1128781915490 2257563830980 4515127661960 5305275002803 10610550005606 21221100011212 26526375014015 42442200022424 53052750028030 106105500056060 212211000112120