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12004410004121 = 312573134813951
BaseRepresentation
bin1010111010101111111010…
…0110000001001010011001
31120111121110222021112011102
42232223332212001022121
53033140012430112441
641310425543441145
72346201320305253
oct256537646011231
946447428245142
1012004410004121
113909050547207
12141a6507561b5
1369101b246292
142d703357ccd3
1515c3e018369b
hexaeafe981299

12004410004121 has 16 divisors (see below), whose sum is σ = 12479612141568. Its totient is φ = 11534994432000.

The previous prime is 12004410004109. The next prime is 12004410004177. The reversal of 12004410004121 is 12140001440021.

It is a cyclic number.

It is not a de Polignac number, because 12004410004121 - 230 = 12003336262297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12004410004093 and 12004410004102.

It is not an unprimeable number, because it can be changed into a prime (12004410004021) 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 15 ways as a sum of consecutive naturals, for example, 86696 + ... + 4900646.

It is an arithmetic number, because the mean of its divisors is an integer number (779975758848).

Almost surely, 212004410004121 is an apocalyptic number.

It is an amenable number.

12004410004121 is a deficient number, since it is larger than the sum of its proper divisors (475202137447).

12004410004121 is a wasteful number, since it uses less digits than its factorization.

12004410004121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814552.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12004410004121 its reverse (12140001440021), we get a palindrome (24144411444142).

The spelling of 12004410004121 in words is "twelve trillion, four billion, four hundred ten million, four thousand, one hundred twenty-one".

Divisors: 1 31 257 313 7967 9703 80441 2493671 4813951 149232481 1237185407 1506766663 38352747617 46709766553 387239032391 12004410004121