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212211021222112 = 25111974317100383
BaseRepresentation
bin110000010000000100111010…
…100010011001000011100000
31000211101011201221100221100211
4300100010322202121003200
5210303331132413101422
62031200221452423504
762461511635166113
oct6020047242310340
91024334657327324
10212211021222112
1161687209171680
121b973b01777b94
13915454b415a23
143a590d531a57a
151980167cb6577
hexc1013a8990e0

212211021222112 has 96 divisors (see below), whose sum is σ = 459147865042944. Its totient is φ = 95747231193600.

The previous prime is 212211021222089. The next prime is 212211021222133. The reversal of 212211021222112 is 211222120112212.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 26337073 + ... + 33437455.

It is an arithmetic number, because the mean of its divisors is an integer number (4782790260864).

Almost surely, 2212211021222112 is an apocalyptic number.

212211021222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212211021222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229573932521472).

212211021222112 is an abundant number, since it is smaller than the sum of its proper divisors (246936843820832).

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

212211021222112 is a wasteful number, since it uses less digits than its factorization.

212211021222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7101032 (or 7101024 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 212211021222112 its reverse (211222120112212), we get a palindrome (423433141334324).

The spelling of 212211021222112 in words is "two hundred twelve trillion, two hundred eleven billion, twenty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 197 352 394 431 788 862 1576 1724 2167 3152 3448 4334 4741 6304 6896 8668 9482 13792 17336 18964 34672 37928 69344 75856 84907 151712 169814 339628 679256 933977 1358512 1867954 2717024 3735908 7100383 7471816 14200766 14943632 28401532 29887264 56803064 78104213 113606128 156208426 227212256 312416852 624833704 1249667408 1398775451 2499334816 2797550902 3060265073 5595101804 6120530146 11190203608 12241060292 15386529961 22380407216 24482120584 30773059922 33662915803 44760814432 48964241168 61546119844 67325831606 97928482336 123092239688 134651663212 246184479376 269303326424 492368958752 538606652848 602872219381 1077213305696 1205744438762 2411488877524 4822977755048 6631594413191 9645955510096 13263188826382 19291911020192 26526377652764 53052755305528 106105510611056 212211021222112