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212212200002120 = 23517312076764709
BaseRepresentation
bin110000010000000110000000…
…110011000101001001001000
31000211101021210002110011112122
4300100012000303011021020
5210303341041200031440
62031200534442030412
762461553100514403
oct6020060063051110
91024337702404478
10212212200002120
11616877635a452a
121b9741904a8408
1391546a86ba6a6
143a591a7ac4d3a
1519801d650e7b5
hexc10180cc5248

212212200002120 has 32 divisors (see below), whose sum is σ = 505564358830200. Its totient is φ = 79891651765248.

The previous prime is 212212200002119. The next prime is 212212200002141. The reversal of 212212200002120 is 21200002212212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 195679307285764 + 16532892716356 = 13988542^2 + 4066066^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156038381675 + ... + 156038383034.

Almost surely, 2212212200002120 is an apocalyptic number.

212212200002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212200002120 is an abundant number, since it is smaller than the sum of its proper divisors (293352158828080).

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

212212200002120 is a wasteful number, since it uses less digits than its factorization.

212212200002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312076764737 (or 312076764733 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212212200002120 its reverse (21200002212212), we get a palindrome (233412202214332).

The spelling of 212212200002120 in words is "two hundred twelve trillion, two hundred twelve billion, two hundred million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 312076764709 624153529418 1248307058836 1560383823545 2496614117672 3120767647090 5305305000053 6241535294180 10610610000106 12483070588360 21221220000212 26526525000265 42442440000424 53053050000530 106106100001060 212212200002120