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12000112120224 = 253241667055973
BaseRepresentation
bin1010111010011111111001…
…1010111001000110100000
31120111012101110001101211100
42232213332122321012200
53033102212200321344
641304435253114400
72345656652014434
oct256477632710640
946435343041740
1012000112120224
1139072454a4448
121419851328a00
136907b49b8007
142d6b468469c4
1515c23cbbb569
hexae9fe6b91a0

12000112120224 has 36 divisors (see below), whose sum is σ = 34125318842706. Its totient is φ = 4000037373312.

The previous prime is 12000112120223. The next prime is 12000112120247. The reversal of 12000112120224 is 42202121100021.

It can be written as a sum of positive squares in only one way, i.e., 7324709216400 + 4675402903824 = 2706420^2 + 2162268^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12000112120197 and 12000112120206.

It is not an unprimeable number, because it can be changed into a prime (12000112120223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20833527699 + ... + 20833528274.

Almost surely, 212000112120224 is an apocalyptic number.

It is an amenable number.

12000112120224 is an abundant number, since it is smaller than the sum of its proper divisors (22125206722482).

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

12000112120224 is a wasteful number, since it uses less digits than its factorization.

12000112120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41667055989 (or 41667055978 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12000112120224 its reverse (42202121100021), we get a palindrome (54202233220245).

The spelling of 12000112120224 in words is "twelve trillion, one hundred twelve million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 41667055973 83334111946 125001167919 166668223892 250002335838 333336447784 375003503757 500004671676 666672895568 750007007514 1000009343352 1333345791136 1500014015028 2000018686704 3000028030056 4000037373408 6000056060112 12000112120224