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121202002010221 = 1121785016931153
BaseRepresentation
bin11011100011101110001010…
…010001101010000001101101
3120220010210112220121210122121
4123203232022101222001231
5111341233200003311341
61105435233035312541
734346361411533536
oct3343561221520155
9526123486553577
10121202002010221
1135689531450200
12117159152ab751
1352823b87139c2
1421d02cb41768d
15e02b1ee9e4d1
hex6e3b8a46a06d

121202002010221 has 24 divisors (see below), whose sum is σ = 141075239111352. Its totient is φ = 103690033920000.

The previous prime is 121202002010207. The next prime is 121202002010269. The reversal of 121202002010221 is 122010200202121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15590269321 + 121186411740900 = 124861^2 + 11008470^2 .

It is not a de Polignac number, because 121202002010221 - 211 = 121202002008173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121202002010195 and 121202002010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121202002013221) 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 23 ways as a sum of consecutive naturals, for example, 14020981 + ... + 20952133.

It is an arithmetic number, because the mean of its divisors is an integer number (5878134962973).

Almost surely, 2121202002010221 is an apocalyptic number.

121202002010221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121202002010221 is a deficient number, since it is larger than the sum of its proper divisors (19873237101131).

121202002010221 is a wasteful number, since it uses less digits than its factorization.

121202002010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939693 (or 6939682 counting only the distinct ones).

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

Adding to 121202002010221 its reverse (122010200202121), we get a palindrome (243212202212342).

The spelling of 121202002010221 in words is "one hundred twenty-one trillion, two hundred two billion, two million, ten thousand, two hundred twenty-one".

Divisors: 1 11 17 121 187 2057 8501 93511 144517 1028621 1589687 6931153 17486557 76242683 117829601 838669513 1296125611 14257381721 58921731653 648139048183 1001669438101 7129529530013 11018363819111 121202002010221