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121221441 = 34111753151
BaseRepresentation
bin1110011100110…
…11000101000001
322110002200120000
413032123011001
5222013041231
620010110213
73001236165
oct716330501
9273080500
10121221441
1162476510
123471b369
131c163b83
1412156ca5
15a9976e6
hex739b141

121221441 has 80 divisors (see below), whose sum is σ = 214524288. Its totient is φ = 67392000.

The previous prime is 121221403. The next prime is 121221449. The reversal of 121221441 is 144122121.

121221441 is a `hidden beast` number, since 1 + 2 + 1 + 221 + 441 = 666.

It is not a de Polignac number, because 121221441 - 215 = 121188673 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121221449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 802716 + ... + 802866.

Almost surely, 2121221441 is an apocalyptic number.

121221441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121221441 is a deficient number, since it is larger than the sum of its proper divisors (93302847).

121221441 is a wasteful number, since it uses less digits than its factorization.

121221441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

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

The square root of 121221441 is about 11010.0608990141. The cubic root of 121221441 is about 494.9102867718.

Adding to 121221441 its reverse (144122121), we get a palindrome (265343562).

The spelling of 121221441 in words is "one hundred twenty-one million, two hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 9 11 17 27 33 51 53 81 99 151 153 159 187 297 453 459 477 561 583 891 901 1359 1377 1431 1661 1683 1749 2567 2703 4077 4293 4983 5049 5247 7701 8003 8109 9911 12231 14949 15147 15741 23103 24009 24327 28237 29733 44847 47223 69309 72027 72981 84711 88033 89199 134541 136051 207927 216081 254133 264099 267597 408153 648243 762399 792297 802791 1224459 1496561 2287197 2376891 3673377 4489683 7130673 11020131 13469049 40407147 121221441