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12021112021122 = 23225720771125107
BaseRepresentation
bin1010111011101110001000…
…0111001010000010000010
31120120012120222001220020200
42232323202013022002002
53033423214134133442
641322231141550030
72350332235150341
oct256734207120202
946505528056220
1012021112021122
113915141389846
121421932115316
13692780596989
142d7b79851b58
1515ca6b5e934c
hexaeee21ca082

12021112021122 has 48 divisors (see below), whose sum is σ = 26148555849312. Its totient is φ = 3991221688320.

The previous prime is 12021112021103. The next prime is 12021112021151. The reversal of 12021112021122 is 22112021112021.

12021112021122 is a `hidden beast` number, since 120 + 211 + 120 + 211 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12021112021095 and 12021112021104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 96024093 + ... + 96149199.

It is an arithmetic number, because the mean of its divisors is an integer number (544761580194).

Almost surely, 212021112021122 is an apocalyptic number.

12021112021122 is an abundant number, since it is smaller than the sum of its proper divisors (14127443828190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12021112021122 is a wasteful number, since it uses less digits than its factorization.

12021112021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146143 (or 146140 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12021112021122 its reverse (22112021112021), we get a palindrome (34133133133143).

The spelling of 12021112021122 in words is "twelve trillion, twenty-one billion, one hundred twelve million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 257 514 771 1542 2313 4626 20771 41542 62313 124626 125107 186939 250214 373878 375321 750642 1125963 2251926 5338147 10676294 16014441 32028882 32152499 48043323 64304998 96086646 96457497 192914994 289372491 578744982 2598597497 5197194994 7795792491 15591584982 23387377473 46774754946 667839556729 1335679113458 2003518670187 4007037340374 6010556010561 12021112021122