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121303221201 = 32109123652621
BaseRepresentation
bin111000011111000111…
…1000100001111010001
3102121002211102002220100
41300332033010033101
53441412111034301
6131420445003013
711523002240061
oct1607617041721
9377084362810
10121303221201
1147498562538
121b614253469
13b5921ac586
145c2a4653a1
15324e5d0286
hex1c3e3c43d1

121303221201 has 12 divisors (see below), whose sum is σ = 176823249460. Its totient is φ = 80126897760.

The previous prime is 121303221173. The next prime is 121303221203. The reversal of 121303221201 is 102122303121.

121303221201 is a `hidden beast` number, since 12 + 130 + 322 + 1 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85394866176 + 35908355025 = 292224^2 + 189495^2 .

It is not a de Polignac number, because 121303221201 - 27 = 121303221073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121303221203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61825330 + ... + 61827291.

Almost surely, 2121303221201 is an apocalyptic number.

It is an amenable number.

121303221201 is a deficient number, since it is larger than the sum of its proper divisors (55520028259).

121303221201 is a wasteful number, since it uses less digits than its factorization.

121303221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123652736 (or 123652733 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121303221201 its reverse (102122303121), we get a palindrome (223425524322).

The spelling of 121303221201 in words is "one hundred twenty-one billion, three hundred three million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 109 327 981 123652621 370957863 1112873589 13478135689 40434407067 121303221201