Search a number
-
+
12018998114721 = 3313414767337787
BaseRepresentation
bin1010111011100110010000…
…0111001111100110100001
31120120000010122101022211000
42232321210013033212201
53033404402004132341
641321241305342213
72350225656224043
oct256714407174641
946500118338730
1012018998114721
113914257112664
121421442197969
1369250464a1a0
142d7a18bc5a93
1515c995c368b6
hexaee641cf9a1

12018998114721 has 256 divisors, whose sum is σ = 20447037112320. Its totient is φ = 6927512739840.

The previous prime is 12018998114701. The next prime is 12018998114759. The reversal of 12018998114721 is 12741189981021.

It is a happy number.

12018998114721 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 8 + 99 + 81 + 1 + 472 + 1 = 666.

It is not a de Polignac number, because 12018998114721 - 25 = 12018998114689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12018998114701) 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 255 ways as a sum of consecutive naturals, for example, 15271915890 + ... + 15271916676.

It is an arithmetic number, because the mean of its divisors is an integer number (79871238720).

Almost surely, 212018998114721 is an apocalyptic number.

It is an amenable number.

12018998114721 is a deficient number, since it is larger than the sum of its proper divisors (8428038997599).

12018998114721 is a wasteful number, since it uses less digits than its factorization.

12018998114721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 54.

The spelling of 12018998114721 in words is "twelve trillion, eighteen billion, nine hundred ninety-eight million, one hundred fourteen thousand, seven hundred twenty-one".