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12221101120221 = 337427115139759
BaseRepresentation
bin1011000111010111001001…
…1001000001101011011101
31121021022210112211202112000
42301311302121001223131
53100212303341321341
641554144002232513
72400642164353320
oct261656231015335
947238715752460
1012221101120221
113991a37a84a34
121454646055739
136a85a256a1c6
1430370c2d67b7
15162d73b188b6
hexb1d72641add

12221101120221 has 32 divisors (see below), whose sum is σ = 20696657510400. Its totient is φ = 6981850799280.

The previous prime is 12221101120219. The next prime is 12221101120259. The reversal of 12221101120221 is 12202110112221.

12221101120221 is a `hidden beast` number, since 1 + 2 + 221 + 101 + 120 + 221 = 666.

It is not a de Polignac number, because 12221101120221 - 21 = 12221101120219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221101120194 and 12221101120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221101120201) 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 31 ways as a sum of consecutive naturals, for example, 6762661 + ... + 8377098.

It is an arithmetic number, because the mean of its divisors is an integer number (646770547200).

Almost surely, 212221101120221 is an apocalyptic number.

It is an amenable number.

12221101120221 is a deficient number, since it is larger than the sum of its proper divisors (8475556390179).

12221101120221 is a wasteful number, since it uses less digits than its factorization.

12221101120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15144046 (or 15144040 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12221101120221 its reverse (12202110112221), we get a palindrome (24423211232442).

The spelling of 12221101120221 in words is "twelve trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 4271 12813 29897 38439 89691 115317 269073 807219 15139759 45419277 105978313 136257831 317934939 408773493 953804817 2861414451 64661910689 193985732067 452633374823 581957196201 1357900124469 1745871588603 4073700373407 12221101120221