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12221022001201 = 136090115436177
BaseRepresentation
bin1011000111010110110110…
…1011001101100000110001
31121021022121000222002121221
42301311231223031200301
53100212123113014301
641554132054345041
72400640214016526
oct261655553154061
947238530862557
1012221022001201
1139919a7355712
12145462365b181
136a858c057b10
143037019bd14d
15162d6bbdada1
hexb1d6dacd831

12221022001201 has 8 divisors (see below), whose sum is σ = 13161317575784. Its totient is φ = 11280757420800.

The previous prime is 12221022001147. The next prime is 12221022001213. The reversal of 12221022001201 is 10210022012221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2184037666801 + 10036984334400 = 1477849^2 + 3168120^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12221022001201 - 29 = 12221022000689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12221022071201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6926376 + ... + 8509801.

It is an arithmetic number, because the mean of its divisors is an integer number (1645164696973).

Almost surely, 212221022001201 is an apocalyptic number.

It is an amenable number.

12221022001201 is a deficient number, since it is larger than the sum of its proper divisors (940295574583).

12221022001201 is a wasteful number, since it uses less digits than its factorization.

12221022001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15497091.

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

Adding to 12221022001201 its reverse (10210022012221), we get a palindrome (22431044013422).

The spelling of 12221022001201 in words is "twelve trillion, two hundred twenty-one billion, twenty-two million, one thousand, two hundred one".

Divisors: 1 13 60901 791713 15436177 200670301 940078615477 12221022001201