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211220212220112 = 243229157912169609
BaseRepresentation
bin110000000001101010001001…
…101110000000000011010000
31000200212110021202102120220010
4300001222021232000003100
5210141112443312020422
62025121120445114520
762330104522503444
oct6001521156000320
91020773252376803
10211220212220112
1161334a973315a7
121b833a85858a40
1390b1c99352254
143a23181806824
1519644c83a8b0c
hexc01a89b800d0

211220212220112 has 80 divisors (see below), whose sum is σ = 548382097976000. Its totient is φ = 70054883914752.

The previous prime is 211220212220077. The next prime is 211220212220119. The reversal of 211220212220112 is 211022212022112.

It is a super-3 number, since 3×2112202122201123 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220212220119) 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, 11271564 + ... + 23441172.

It is an arithmetic number, because the mean of its divisors is an integer number (6854776224700).

Almost surely, 2211220212220112 is an apocalyptic number.

It is an amenable number.

211220212220112 is an abundant number, since it is smaller than the sum of its proper divisors (337161885755888).

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

211220212220112 is a wasteful number, since it uses less digits than its factorization.

211220212220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12171428 (or 12171422 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211220212220112 its reverse (211022212022112), we get a palindrome (422242424242224).

The spelling of 211220212220112 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred twelve million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 229 458 687 916 1374 1579 1832 2748 3158 3664 4737 5496 6316 9474 10992 12632 18948 25264 37896 75792 361591 723182 1084773 1446364 2169546 2892728 4339092 5785456 8678184 12169609 17356368 24339218 36508827 48678436 73017654 97356872 146035308 194713744 292070616 584141232 2786840461 5573680922 8360521383 11147361844 16721042766 19215812611 22294723688 33442085532 38431625222 44589447376 57647437833 66884171064 76863250444 115294875666 133768342128 153726500888 230589751332 307453001776 461179502664 922359005328 4400421087919 8800842175838 13201263263757 17601684351676 26402526527514 35203368703352 52805053055028 70406737406704 105610106110056 211220212220112