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11222201221121 = 114350347168159
BaseRepresentation
bin1010001101001101111101…
…0100010100000000000001
31110201211110111110020202202
42203103133110110000001
52432331032003033441
635511224050522545
72235530415330452
oct243233724240001
943654414406682
1011222201221121
113637344033140
121312b30596455
13635331189257
142ab22c017129
15146dadc5819b
hexa34df514001

11222201221121 has 16 divisors (see below), whose sum is σ = 12552013393920. Its totient is φ = 9944934432720.

The previous prime is 11222201221117. The next prime is 11222201221151. The reversal of 11222201221121 is 12112210222211.

It is a cyclic number.

It is not a de Polignac number, because 11222201221121 - 22 = 11222201221117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11222201221093 and 11222201221102.

It is not an unprimeable number, because it can be changed into a prime (11222201221151) 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, 23346161 + ... + 23821998.

It is an arithmetic number, because the mean of its divisors is an integer number (784500837120).

Almost surely, 211222201221121 is an apocalyptic number.

11222201221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11222201221121 is a deficient number, since it is larger than the sum of its proper divisors (1329812172799).

11222201221121 is a wasteful number, since it uses less digits than its factorization.

11222201221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47168716.

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

Adding to 11222201221121 its reverse (12112210222211), we get a palindrome (23334411443332).

The spelling of 11222201221121 in words is "eleven trillion, two hundred twenty-two billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 43 473 503 5533 21629 237919 47168159 518849749 2028230837 22310539207 23725583977 260981423747 1020200111011 11222201221121