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121224422121 = 3113799282901
BaseRepresentation
bin111000011100110001…
…0011110001011101001
3102120220100010200212220
41300321202132023221
53441231423001441
6131404552024253
711521024405125
oct1607142361351
9376810120786
10121224422121
1147458031630
121b5b1992089
13b57ba7c9ba
145c1dbd2585
153247717466
hex1c3989e2e9

121224422121 has 16 divisors (see below), whose sum is σ = 181092013248. Its totient is φ = 71483688000.

The previous prime is 121224422087. The next prime is 121224422131.

121224422121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121224422121 - 219 = 121223897833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121224422091 and 121224422100.

It is not an unprimeable number, because it can be changed into a prime (121224422131) 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 15 ways as a sum of consecutive naturals, for example, 49640230 + ... + 49642671.

It is an arithmetic number, because the mean of its divisors is an integer number (11318250828).

Almost surely, 2121224422121 is an apocalyptic number.

121224422121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121224422121 is a deficient number, since it is larger than the sum of its proper divisors (59867591127).

121224422121 is a wasteful number, since it uses less digits than its factorization.

121224422121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99282952.

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 121224 and 422121, that added together give a palindrome (543345).

The spelling of 121224422121 in words is "one hundred twenty-one billion, two hundred twenty-four million, four hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 11 33 37 111 407 1221 99282901 297848703 1092111911 3276335733 3673467337 11020402011 40408140707 121224422121