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12001200121224 = 2332166683335017
BaseRepresentation
bin1010111010100011111101…
…0001010010010110001000
31120111022012021022120121200
42232220333101102112020
53033111424212334344
641305135240504200
72346025632614136
oct256507721222610
946438167276550
1012001200121224
113907753663726
121419ab577b060
136909292272a2
142d6c0b140756
1515c2a3482069
hexaea3f452588

12001200121224 has 24 divisors (see below), whose sum is σ = 32503250328510. Its totient is φ = 4000400040384.

The previous prime is 12001200121201. The next prime is 12001200121271. The reversal of 12001200121224 is 42212100210021.

12001200121224 is a `hidden beast` number, since 1 + 200 + 120 + 0 + 121 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6202341202500 + 5798858918724 = 2490450^2 + 2408082^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 12001200121197 and 12001200121206.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83341667437 + ... + 83341667580.

Almost surely, 212001200121224 is an apocalyptic number.

It is an amenable number.

12001200121224 is an abundant number, since it is smaller than the sum of its proper divisors (20502050207286).

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

12001200121224 is a wasteful number, since it uses less digits than its factorization.

12001200121224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166683335029 (or 166683335022 counting only the distinct ones).

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

Adding to 12001200121224 its reverse (42212100210021), we get a palindrome (54213300331245).

The spelling of 12001200121224 in words is "twelve trillion, one billion, two hundred million, one hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 166683335017 333366670034 500050005051 666733340068 1000100010102 1333466680136 1500150015153 2000200020204 3000300030306 4000400040408 6000600060612 12001200121224