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12221023331439 = 331334817730289
BaseRepresentation
bin1011000111010110110111…
…0000010010010001101111
31121021022121010110200101000
42301311231300102101233
53100212123433101224
641554132143051343
72400640231230006
oct261655560222157
947238533420330
1012221023331439
1139919a808408a
121454623ba0b53
136a858c402440
14303701c47c3d
15162d6bda00c9
hexb1d6dc1246f

12221023331439 has 16 divisors (see below), whose sum is σ = 19497928962400. Its totient is φ = 7520629742208.

The previous prime is 12221023331401. The next prime is 12221023331459. The reversal of 12221023331439 is 93413332012221.

12221023331439 is a `hidden beast` number, since 1 + 2 + 2 + 210 + 2 + 3 + 3 + 3 + 1 + 439 = 666.

It is not a de Polignac number, because 12221023331439 - 27 = 12221023331311 is a prime.

It is a super-2 number, since 2×122210233314392 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221023331459) 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 15 ways as a sum of consecutive naturals, for example, 17408864794 + ... + 17408865495.

It is an arithmetic number, because the mean of its divisors is an integer number (1218620560150).

Almost surely, 212221023331439 is an apocalyptic number.

12221023331439 is a deficient number, since it is larger than the sum of its proper divisors (7276905630961).

12221023331439 is a wasteful number, since it uses less digits than its factorization.

12221023331439 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34817730311 (or 34817730305 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 12221023331439 in words is "twelve trillion, two hundred twenty-one billion, twenty-three million, three hundred thirty-one thousand, four hundred thirty-nine".

Divisors: 1 3 9 13 27 39 117 351 34817730289 104453190867 313359572601 452630493757 940078717803 1357891481271 4073674443813 12221023331439