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12002022122121 = 324194134565149
BaseRepresentation
bin1010111010100111000001…
…0000111110001010001001
31120111101022120001112212100
42232221300100332022021
53033120120130401441
641305353003104013
72346055203532203
oct256516020761211
946441276045770
1012002022122121
113908035661109
12141a0a4b12009
13690a2a611255
142d6c88395773
1515c300702cb6
hexaea7043e289

12002022122121 has 24 divisors (see below), whose sum is σ = 17777962729800. Its totient is φ = 7797897388800.

The previous prime is 12002022122107. The next prime is 12002022122179. The reversal of 12002022122121 is 12122122020021.

It is a happy number.

12002022122121 is a `hidden beast` number, since 1 + 200 + 2 + 0 + 221 + 221 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 169550415225 + 11832471706896 = 411765^2 + 3439836^2 .

It is not a de Polignac number, because 12002022122121 - 211 = 12002022120073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002022122094 and 12002022122103.

It is not an unprimeable number, because it can be changed into a prime (12002022122621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16935346 + ... + 17629803.

It is an arithmetic number, because the mean of its divisors is an integer number (740748447075).

Almost surely, 212002022122121 is an apocalyptic number.

It is an amenable number.

12002022122121 is a deficient number, since it is larger than the sum of its proper divisors (5775940607679).

12002022122121 is a wasteful number, since it uses less digits than its factorization.

12002022122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34566137 (or 34566134 counting only the distinct ones).

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

Adding to 12002022122121 its reverse (12122122020021), we get a palindrome (24124144142142).

The spelling of 12002022122121 in words is "twelve trillion, two billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 41 123 369 941 2823 8469 38581 115743 347229 34565149 103695447 311086341 1417171109 4251513327 12754539981 32525805209 97577415627 292732246881 1333558013569 4000674040707 12002022122121