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211221212122122 = 23371019420266351
BaseRepresentation
bin110000000001101011000101…
…010100010100110000001010
31000200212112212102220212120220
4300001223011110110300022
5210141122020300401442
62025121404004330510
762330141353515606
oct6001530524246012
91020775772825526
10211221212122122
116133545a7987a4
121b8341046a3a36
1390b20c8556947
143a2323852a506
15196453606aeec
hexc01ac5514c0a

211221212122122 has 32 divisors (see below), whose sum is σ = 438155428564224. Its totient is φ = 67825917720000.

The previous prime is 211221212122121. The next prime is 211221212122139. The reversal of 211221212122122 is 221221212122112.

It is a super-2 number, since 2×2112212121221222 (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 = 211221212122092 and 211221212122101.

It is not an unprimeable number, because it can be changed into a prime (211221212122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4710110754 + ... + 4710155597.

It is an arithmetic number, because the mean of its divisors is an integer number (13692357142632).

Almost surely, 2211221212122122 is an apocalyptic number.

211221212122122 is an abundant number, since it is smaller than the sum of its proper divisors (226934216442102).

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

211221212122122 is a wasteful number, since it uses less digits than its factorization.

211221212122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9420266494.

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

Adding to 211221212122122 its reverse (221221212122112), we get a palindrome (432442424244234).

The spelling of 211221212122122 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 37 74 101 111 202 222 303 606 3737 7474 11211 22422 9420266351 18840532702 28260799053 56521598106 348549854987 697099709974 951446901451 1045649564961 1902893802902 2091299129922 2854340704353 5708681408706 35203535353687 70407070707374 105610606061061 211221212122122