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211200212012112 = 24321466668138973
BaseRepresentation
bin110000000001010111100001…
…100111010000110001010000
31000200210112122220111202022200
4300001113201213100301100
5210140301013233341422
62025104012111203200
762325466065522231
oct6001274147206120
91020715586452280
10211200212012112
1161327563780284
121b830023816500
1390b012c903a4b
143a222054a9088
151963c075eb2ac
hexc015e19d0c50

211200212012112 has 30 divisors (see below), whose sum is σ = 591067260006522. Its totient is φ = 70400070670656.

The previous prime is 211200212012093. The next prime is 211200212012129. The reversal of 211200212012112 is 211210212002112.

211200212012112 is a `hidden beast` number, since 211 + 20 + 0 + 21 + 201 + 211 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 210566334897216 + 633877114896 = 14510904^2 + 796164^2 .

It is a super-2 number, since 2×2112002120121122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 733334069343 + ... + 733334069630.

Almost surely, 2211200212012112 is an apocalyptic number.

It is an amenable number.

211200212012112 is an abundant number, since it is smaller than the sum of its proper divisors (379867047994410).

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

211200212012112 is a wasteful number, since it uses less digits than its factorization.

211200212012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466668138987 (or 1466668138978 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211200212012112 its reverse (211210212002112), we get a palindrome (422410424014224).

The spelling of 211200212012112 in words is "two hundred eleven trillion, two hundred billion, two hundred twelve million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1466668138973 2933336277946 4400004416919 5866672555892 8800008833838 11733345111784 13200013250757 17600017667676 23466690223568 26400026501514 35200035335352 52800053003028 70400070670704 105600106006056 211200212012112