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221212121212122 = 23377012081683071
BaseRepresentation
bin110010010011000011110101…
…111001111010010011011010
31002000020200011002000001022220
4302103003311321322103122
5212443314411012241442
62102251240123524510
764411022403546345
oct6223036571722332
91060220132001286
10221212121212122
1164537596488557
1220988483989736
1396582a1151981
143c8aa1c13b45c
151a8937cd25eec
hexc930f5e7a4da

221212121212122 has 64 divisors (see below), whose sum is σ = 455249170741248. Its totient is φ = 71607594240000.

The previous prime is 221212121212073. The next prime is 221212121212123.

221212121212122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2212121212121222 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221212121212092 and 221212121212101.

It is not an unprimeable number, because it can be changed into a prime (221212121212123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323507847 + ... + 324190917.

It is an arithmetic number, because the mean of its divisors is an integer number (7113268292832).

Almost surely, 2221212121212122 is an apocalyptic number.

221212121212122 is an abundant number, since it is smaller than the sum of its proper divisors (234037049529126).

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

221212121212122 is a wasteful number, since it uses less digits than its factorization.

221212121212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685895.

The product of its digits is 512, while the sum is 24.

The spelling of 221212121212122 in words is "two hundred twenty-one trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 37 74 111 222 701 1402 2081 2103 4162 4206 6243 12486 25937 51874 76997 77811 153994 155622 230991 461982 683071 1366142 1458781 2049213 2917562 4098426 4376343 8752686 25273627 50547254 53974897 75820881 107949794 151641762 161924691 323849382 478832771 957665542 1421470751 1436498313 2842941502 2872996626 4264412253 8528824506 17716812527 35433625054 52594417787 53150437581 105188835574 106300875162 157783253361 315566506722 996450996451 1992901992902 2989352989353 5978705978706 36868686868687 73737373737374 110606060606061 221212121212122