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121120011221 = 114371279643
BaseRepresentation
bin111000011001101010…
…0001011001111010101
3102120122001200002001112
41300303110023033111
53441023210324341
6131350342104405
711515316052146
oct1606324131725
9376561602045
10121120011221
11474040a8130
121b582a1b105
13b5632535c1
145c0ddb3acd
15323d490aeb
hex1c3350b3d5

121120011221 has 48 divisors (see below), whose sum is σ = 139086689280. Its totient is φ = 104528642400.

The previous prime is 121120011209. The next prime is 121120011241. The reversal of 121120011221 is 122110021121.

It is not a de Polignac number, because 121120011221 - 26 = 121120011157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121120011196 and 121120011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120011241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188366726 + ... + 188367368.

It is an arithmetic number, because the mean of its divisors is an integer number (2897639360).

Almost surely, 2121120011221 is an apocalyptic number.

121120011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121120011221 is a deficient number, since it is larger than the sum of its proper divisors (17966678059).

121120011221 is an equidigital number, since it uses as much as digits as its factorization.

121120011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121120011221 its reverse (122110021121), we get a palindrome (243230032342).

The spelling of 121120011221 in words is "one hundred twenty-one billion, one hundred twenty million, eleven thousand, two hundred twenty-one".

Divisors: 1 11 43 71 79 473 643 781 869 3053 3397 5041 5609 7073 27649 33583 37367 45653 50797 55451 61699 216763 241187 304139 398239 502183 558767 1963079 2184271 2384393 2653057 3241363 3606587 4380629 17124277 21593869 24026981 35654993 39672457 139378609 155083241 188367047 256067677 1533164699 1705915651 2816744447 11010910111 121120011221