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212120022121112 = 23723596427234527
BaseRepresentation
bin110000001110110000001010…
…100100010111101010011000
31000211001110212001111122022202
4300032300022210113222120
5210300333301130333422
62031050332022105332
762452110614454500
oct6016601244275230
91024043761448282
10212120022121112
1161651661591186
121b95a34627b248
139148aa860c831
143a54941866a00
15197caddd84b92
hexc0ec0a917a98

212120022121112 has 96 divisors (see below), whose sum is σ = 464022653875200. Its totient is φ = 90640861786944.

The previous prime is 212120022121109. The next prime is 212120022121127. The reversal of 212120022121112 is 211121220021212.

It is a super-2 number, since 2×2121200221211122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904341593 + ... + 904576119.

It is an arithmetic number, because the mean of its divisors is an integer number (4833569311200).

Almost surely, 2212120022121112 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 212120022121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232011326937600).

212120022121112 is an abundant number, since it is smaller than the sum of its proper divisors (251902631754088).

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

212120022121112 is a wasteful number, since it uses less digits than its factorization.

212120022121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241333 (or 241322 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212120022121112 its reverse (211121220021212), we get a palindrome (423241242142324).

The spelling of 212120022121112 in words is "two hundred twelve trillion, one hundred twenty billion, twenty-two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 359 392 718 1436 2513 2872 5026 6427 10052 12854 17591 20104 25708 35182 44989 51416 70364 89978 140728 179956 234527 314923 359912 469054 629846 938108 1259692 1641689 1876216 2307293 2519384 3283378 4614586 6566756 9229172 11491823 13133512 16151051 18458344 22983646 32302102 45967292 64604204 84195193 91934584 113057357 129208408 168390386 226114714 336780772 452229428 589366351 673561544 904458856 1178732702 1507305029 2357465404 3014610058 4125564457 4714930808 6029220116 8251128914 10551135203 12058440232 16502257828 21102270406 33004515656 42204540812 73857946421 84409081624 147715892842 295431785684 541122505411 590863571368 1082245010822 2164490021644 3787857537877 4328980043288 7575715075754 15151430151508 26515002765139 30302860303016 53030005530278 106060011060556 212120022121112