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121221202221 = 32712591528313
BaseRepresentation
bin111000011100101011…
…0001100000100101101
3102120220010002010000100
41300321112030010231
53441230111432341
6131404355021313
711520655134510
oct1607126140455
9376803063010
10121221202221
1147456232459
121b5b089a839
13b57b1c3232
145c1d5d4d77
1532472cd3b6
hex1c3958c12d

121221202221 has 24 divisors (see below), whose sum is σ = 200270266560. Its totient is φ = 69214193856.

The previous prime is 121221202169. The next prime is 121221202373. The reversal of 121221202221 is 122202122121.

It is a happy number.

121221202221 is a `hidden beast` number, since 1 + 21 + 221 + 202 + 221 = 666.

It is not a de Polignac number, because 121221202221 - 214 = 121221185837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121221202194 and 121221202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684840 + ... + 843473.

It is an arithmetic number, because the mean of its divisors is an integer number (8344594440).

Almost surely, 2121221202221 is an apocalyptic number.

It is an amenable number.

121221202221 is a deficient number, since it is larger than the sum of its proper divisors (79049064339).

121221202221 is a wasteful number, since it uses less digits than its factorization.

121221202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529585 (or 1529582 counting only the distinct ones).

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

Adding to 121221202221 its reverse (122202122121), we get a palindrome (243423324342).

The spelling of 121221202221 in words is "one hundred twenty-one billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 1259 3777 8813 11331 26439 79317 1528313 4584939 10698191 13754817 32094573 96283719 1924146067 5772438201 13469022469 17317314603 40407067407 121221202221