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12023002211121 = 32111910362056447
BaseRepresentation
bin1010111011110101001011…
…0001101010001100110001
31120120101110200210111110200
42232331102301222030301
53033441102031223441
641323142503145413
72350430126411346
oct256752261521461
946511420714420
1012023002211121
113915a21344540
12142217b145269
136929c20742b5
142d7cb88c47cd
1515cb2c51a7b6
hexaef52c6a331

12023002211121 has 48 divisors (see below), whose sum is σ = 20136076247040. Its totient is φ = 6836138091360.

The previous prime is 12023002211117. The next prime is 12023002211177. The reversal of 12023002211121 is 12111220032021.

12023002211121 is a `hidden beast` number, since 1 + 20 + 2 + 300 + 221 + 1 + 121 = 666.

It is not a de Polignac number, because 12023002211121 - 22 = 12023002211117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12023002211094 and 12023002211103.

It is not an unprimeable number, because it can be changed into a prime (12023002211021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30834481 + ... + 31221966.

It is an arithmetic number, because the mean of its divisors is an integer number (419501588480).

Almost surely, 212023002211121 is an apocalyptic number.

12023002211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12023002211121 is a deficient number, since it is larger than the sum of its proper divisors (8113074035919).

12023002211121 is a wasteful number, since it uses less digits than its factorization.

12023002211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62056586 (or 62056583 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12023002211121 its reverse (12111220032021), we get a palindrome (24134222243142).

The spelling of 12023002211121 in words is "twelve trillion, twenty-three billion, two million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 11 19 33 57 99 103 171 209 309 627 927 1133 1881 1957 3399 5871 10197 17613 21527 64581 193743 62056447 186169341 558508023 682620917 1179072493 2047862751 3537217479 6143588253 6391814041 10611652437 12969797423 19175442123 38909392269 57526326369 70309954451 116728176807 121444466779 210929863353 364333400337 632789590059 1093000201011 1335889134569 4007667403707 12023002211121