Search a number
-
+
12004110342020 = 2252964132288209
BaseRepresentation
bin1010111010101110110010…
…1110111001011110000100
31120111120201002102010001002
42232223230232321132010
53033133404221421040
641310340120552432
72346161021233646
oct256535456713604
946446632363032
1012004110342020
113908a07383685
12141a588322718
13690ca1136224
142d7005856896
1515c3c3bdea15
hexaeaecbb9784

12004110342020 has 48 divisors (see below), whose sum is σ = 26118578833200. Its totient is φ = 4628837498880.

The previous prime is 12004110341989. The next prime is 12004110342031. The reversal of 12004110342020 is 2024301140021.

It can be written as a sum of positive squares in 8 ways, for example, as 536459564356 + 11467650777664 = 732434^2 + 3386392^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12004110341983 and 12004110342001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15772325 + ... + 16515884.

It is an arithmetic number, because the mean of its divisors is an integer number (544137059025).

Almost surely, 212004110342020 is an apocalyptic number.

12004110342020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12004110342020 is an abundant number, since it is smaller than the sum of its proper divisors (14114468491180).

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

12004110342020 is a wasteful number, since it uses less digits than its factorization.

12004110342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32288888 (or 32288886 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12004110342020 its reverse (2024301140021), we get a palindrome (14028411482041).

The spelling of 12004110342020 in words is "twelve trillion, four billion, one hundred ten million, three hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 641 1282 2564 3205 6410 12820 18589 37178 74356 92945 185890 371780 32288209 64576418 129152836 161441045 322882090 645764180 936358061 1872716122 3745432244 4681790305 9363580610 18727161220 20696741969 41393483938 82786967876 103483709845 206967419690 413934839380 600205517101 1200411034202 2400822068404 3001027585505 6002055171010 12004110342020