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12002201120221 = 132909317375813
BaseRepresentation
bin1010111010100111101011…
…1011110010110111011101
31120111101210000212121002121
42232221322323302313131
53033121001441321341
641305422435422541
72346062506145434
oct256517273626735
946441700777077
1012002201120221
1139081176aa024
12141a134a54a51
13690a587240a0
142d6ca406c11b
1515c3112ae4d1
hexaea7aef2ddd

12002201120221 has 8 divisors (see below), whose sum is σ = 12929890662360. Its totient is φ = 11075146335552.

The previous prime is 12002201120213. The next prime is 12002201120243. The reversal of 12002201120221 is 12202110220021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 150609967225 + 11851591152996 = 388085^2 + 3442614^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12002201120221 - 23 = 12002201120213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12002201120195 and 12002201120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002201121221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158650090 + ... + 158725723.

It is an arithmetic number, because the mean of its divisors is an integer number (1616236332795).

Almost surely, 212002201120221 is an apocalyptic number.

It is an amenable number.

12002201120221 is a deficient number, since it is larger than the sum of its proper divisors (927689542139).

12002201120221 is a wasteful number, since it uses less digits than its factorization.

12002201120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317378735.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12002201120221 its reverse (12202110220021), we get a palindrome (24204311340242).

The spelling of 12002201120221 in words is "twelve trillion, two billion, two hundred one million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 13 2909 37817 317375813 4125885569 923246240017 12002201120221