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12348182639121 = 372298093580463
BaseRepresentation
bin1011001110110000100100…
…0010100011001000010001
31121201110211002010210201020
42303230021002203020101
53104303034223422441
642132402104230053
72413061322425400
oct263541102431021
947643732123636
1012348182639121
113a3092020200a
1214751b146b329
136b7575900034
14309925d39637
1516631063be66
hexb3b090a3211

12348182639121 has 48 divisors (see below), whose sum is σ = 19837202745600. Its totient is φ = 6804367272192.

The previous prime is 12348182639057. The next prime is 12348182639129. The reversal of 12348182639121 is 12193628184321.

It is not a de Polignac number, because 12348182639121 - 26 = 12348182639057 is a prime.

It is a super-2 number, since 2×123481826391212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12348182639129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1658536 + ... + 5238998.

It is an arithmetic number, because the mean of its divisors is an integer number (413275057200).

Almost surely, 212348182639121 is an apocalyptic number.

It is an amenable number.

12348182639121 is a deficient number, since it is larger than the sum of its proper divisors (7489020106479).

12348182639121 is a wasteful number, since it uses less digits than its factorization.

12348182639121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581318 (or 3581311 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The spelling of 12348182639121 in words is "twelve trillion, three hundred forty-eight billion, one hundred eighty-two million, six hundred thirty-nine thousand, one hundred twenty-one".

Divisors: 1 3 7 21 29 49 87 147 203 609 809 1421 2427 4263 5663 16989 23461 39641 70383 118923 164227 492681 1149589 3448767 3580463 10741389 25063241 75189723 103833427 175442687 311500281 526328061 726833989 2180501967 2896594567 5087837923 8689783701 15263513769 20276161969 60828485907 84001242443 141933133783 252003727329 425799401349 588008697101 1764026091303 4116060879707 12348182639121