Search a number
-
+
121212112021 = 711132310152127
BaseRepresentation
bin111000011100011001…
…1100000110010010101
3102120212110222021121021
41300320303200302111
53441220300041041
6131403432121141
711520514644460
oct1607063406225
9376773867537
10121212112021
11474510938a0
121b5a98361b1
13b57935c810
145c1c30a2d7
1532465d4cd1
hex1c38ce0c95

121212112021 has 64 divisors (see below), whose sum is σ = 171506958336. Its totient is φ = 82567584000.

The previous prime is 121212112019. The next prime is 121212112051. The reversal of 121212112021 is 120211212121.

It is not a de Polignac number, because 121212112021 - 21 = 121212112019 is a prime.

It is a super-2 number, since 2×1212121120212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121212111986 and 121212112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121212112001) 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 63 ways as a sum of consecutive naturals, for example, 2299260 + ... + 2351386.

It is an arithmetic number, because the mean of its divisors is an integer number (2679796224).

Almost surely, 2121212112021 is an apocalyptic number.

121212112021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121212112021 is a deficient number, since it is larger than the sum of its proper divisors (50294846315).

121212112021 is a wasteful number, since it uses less digits than its factorization.

121212112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52282.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121212112021 its reverse (120211212121), we get a palindrome (241423324142).

The spelling of 121212112021 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred twelve thousand, twenty-one".

Divisors: 1 7 11 13 23 77 91 101 143 161 253 299 707 1001 1111 1313 1771 2093 2323 3289 7777 9191 14443 16261 23023 25553 30199 52127 101101 178871 211393 332189 364889 573397 677651 1198921 2325323 4013779 4743557 5264827 7454161 8392447 13188131 15585973 36853789 52179127 57913097 68442751 92316917 109101811 121091021 171445703 405391679 479099257 752870261 847637147 1200119921 1332001231 1574183273 5270091827 9324008617 11019282911 17316016003 121212112021