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121414421223 = 323119713991579
BaseRepresentation
bin111000100010011011…
…1010000101011100111
3102121101120122122122200
41301010313100223213
53442124042434343
6131435500225543
711525522360304
oct1610467205347
9377346578580
10121414421223
1147545303787
121b64553b2b3
13b5ac244bc4
145c3b1300ab
1532592484d3
hex1c44dd0ae7

121414421223 has 48 divisors (see below), whose sum is σ = 182198016000. Its totient is φ = 77829232320.

The previous prime is 121414421203. The next prime is 121414421251. The reversal of 121414421223 is 322124414121.

121414421223 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 14 + 421 + 223 = 666.

It is not a de Polignac number, because 121414421223 - 210 = 121414420199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121414421203) 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, 76892448 + ... + 76894026.

It is an arithmetic number, because the mean of its divisors is an integer number (3795792000).

Almost surely, 2121414421223 is an apocalyptic number.

121414421223 is a deficient number, since it is larger than the sum of its proper divisors (60783594777).

121414421223 is a wasteful number, since it uses less digits than its factorization.

121414421223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3209 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 121414421223 its reverse (322124414121), we get a palindrome (443538835344).

The spelling of 121414421223 in words is "one hundred twenty-one billion, four hundred fourteen million, four hundred twenty-one thousand, two hundred twenty-three".

Divisors: 1 3 9 31 93 197 279 591 1399 1579 1773 4197 4737 6107 12591 14211 18321 43369 48949 54963 130107 146847 275603 311063 390321 440541 826809 933189 2209021 2480427 2799567 6627063 8543693 9642953 19881189 25631079 28928859 68479651 76893237 86786577 205438953 435177137 616316859 1305531411 3916594233 13490491247 40471473741 121414421223