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12221022001221 = 3211289742611207
BaseRepresentation
bin1011000111010110110110…
…1011001101100001000101
31121021022121000222002122200
42301311231223031201011
53100212123113014341
641554132054345113
72400640214016555
oct261655553154105
947238530862580
1012221022001221
1139919a7355730
12145462365b199
136a858c057b27
143037019bd165
15162d6bbdadb6
hexb1d6dacd845

12221022001221 has 24 divisors (see below), whose sum is σ = 19264015802304. Its totient is φ = 7404123154560.

The previous prime is 12221022001213. The next prime is 12221022001259. The reversal of 12221022001221 is 12210022012221.

It is a happy number.

12221022001221 is a `hidden beast` number, since 1 + 2 + 221 + 0 + 220 + 0 + 1 + 221 = 666.

It is not a de Polignac number, because 12221022001221 - 23 = 12221022001213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221022001194 and 12221022001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221022001121) 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, 21018801 + ... + 21592406.

It is an arithmetic number, because the mean of its divisors is an integer number (802667325096).

Almost surely, 212221022001221 is an apocalyptic number.

12221022001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221022001221 is a deficient number, since it is larger than the sum of its proper divisors (7042993801083).

12221022001221 is a wasteful number, since it uses less digits than its factorization.

12221022001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42614121 (or 42614118 counting only the distinct ones).

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

Adding to 12221022001221 its reverse (12210022012221), we get a palindrome (24431044013442).

The spelling of 12221022001221 in words is "twelve trillion, two hundred twenty-one billion, twenty-two million, one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 2897 8691 26073 31867 95601 286803 42611207 127833621 383500863 468723277 1406169831 4218509493 123444666679 370334000037 1111002000111 1357891333469 4073674000407 12221022001221