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212111210122112 = 277967493349627
BaseRepresentation
bin110000001110100111111101…
…010101010000101110000000
31000211000122002221011201012102
4300032213331111100232000
5210300212224242401422
62031042313354245532
762451346343634350
oct6016477525205600
91024018087151172
10212111210122112
116164894a427984
121b9586a71268a8
139148002aa5142
143a543473ccb60
15197c775442192
hexc0e9fd550b80

212111210122112 has 128 divisors (see below), whose sum is σ = 483538928125440. Its totient is φ = 90790558967808.

The previous prime is 212111210122109. The next prime is 212111210122129. The reversal of 212111210122112 is 211221012111212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4274084243 + ... + 4274133869.

It is an arithmetic number, because the mean of its divisors is an integer number (3777647875980).

Almost surely, 2212111210122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111210122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241769464062720).

212111210122112 is an abundant number, since it is smaller than the sum of its proper divisors (271427718003328).

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

212111210122112 is an equidigital number, since it uses as much as digits as its factorization.

212111210122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55548 (or 55536 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 212111210122112 its reverse (211221012111212), we get a palindrome (423332222233324).

The spelling of 212111210122112 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred ten million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 967 1934 3868 4933 6769 7736 9866 13538 15472 19732 27076 30944 34531 39464 49627 54152 61888 69062 78928 99254 108304 123776 138124 157856 198508 216608 276248 315712 347389 397016 433216 552496 631424 694778 794032 866432 1104992 1389556 1588064 2209984 2779112 3176128 4419968 4770211 5558224 6352256 9540422 11116448 19080844 22232896 33391477 38161688 44465792 47989309 66782954 76323376 95978618 133565908 152646752 191957236 244809991 267131816 305293504 335925163 383914472 489619982 534263632 610587008 671850326 767828944 979239964 1068527264 1343700652 1535657888 1713669937 1958479928 2137054528 2687401304 3071315776 3427339874 3916959856 4274109056 5374802608 6142631552 6854679748 7833919712 10749605216 13709359496 15667839424 21499210432 27418718992 31335678848 42998420864 54837437984 109674875968 219349751936 236731261297 473462522594 946925045188 1657118829079 1893850090376 3314237658158 3787700180752 6628475316316 7575400361504 13256950632632 15150800723008 26513901265264 30301601446016 53027802530528 106055605061056 212111210122112