Search a number
-
+
12003010320120 = 2335943991059599
BaseRepresentation
bin1010111010101010101100…
…1010101001011011111000
31120111110212102112012200020
42232222223022221123320
53033124131120220440
641310035023410440
72346121533220011
oct256525312513370
946443772465606
1012003010320120
1139084a2453976
12141a31ba53a20
13690b572785b1
142d6d3d710008
1515c35c3523d0
hexaeaab2a96f8

12003010320120 has 64 divisors (see below), whose sum is σ = 36009446400000. Its totient is φ = 3200765824128.

The previous prime is 12003010320113. The next prime is 12003010320131. The reversal of 12003010320120 is 2102301030021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12003010320120.

It is a congruent number.

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, 10798081 + ... + 11857679.

It is an arithmetic number, because the mean of its divisors is an integer number (562647600000).

Almost surely, 212003010320120 is an apocalyptic number.

12003010320120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003010320120 is an abundant number, since it is smaller than the sum of its proper divisors (24006436079880).

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

12003010320120 is a wasteful number, since it uses less digits than its factorization.

12003010320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154012 (or 1154008 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12003010320120 its reverse (2102301030021), we get a palindrome (14105311350141).

It can be divided in two parts, 12003010 and 320120, that added together give a triangular number (12323130 = T4964).

The spelling of 12003010320120 in words is "twelve trillion, three billion, ten million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 94399 188798 283197 377596 471995 566394 755192 943990 1059599 1132788 1415985 1887980 2119198 2265576 2831970 3178797 3775960 4238396 5297995 5663940 6357594 8476792 10595990 11327880 12715188 15893985 21191980 25430376 31787970 42383960 63575940 127151880 100025086001 200050172002 300075258003 400100344004 500125430005 600150516006 800200688008 1000250860010 1200301032012 1500376290015 2000501720020 2400602064024 3000752580030 4001003440040 6001505160060 12003010320120