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121221211224 = 23337149916177
BaseRepresentation
bin111000011100101011…
…0001110010001011000
3102120220010002120100210
41300321112032101120
53441230112224344
6131404355131120
711520655202661
oct1607126162130
9376803076323
10121221211224
11474562391a3
121b5b08a3aa0
13b57b1c7369
145c1d5d8368
1532472d0db9
hex1c3958e458

121221211224 has 64 divisors (see below), whose sum is σ = 313332876000. Its totient is φ = 39051085824.

The previous prime is 121221211159. The next prime is 121221211249. The reversal of 121221211224 is 422112122121.

It is a super-2 number, since 2×1212212112242 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121221211224.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 325777 + ... + 590400.

Almost surely, 2121221211224 is an apocalyptic number.

It is an amenable number.

121221211224 is an abundant number, since it is smaller than the sum of its proper divisors (192111664776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121221211224 is a wasteful number, since it uses less digits than its factorization.

121221211224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916372 (or 916368 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

Adding to 121221211224 its reverse (422112122121), we get a palindrome (543333333345).

The spelling of 121221211224 in words is "one hundred twenty-one billion, two hundred twenty-one million, two hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 149 222 296 298 444 447 596 888 894 1192 1788 3576 5513 11026 16539 22052 33078 44104 66156 132312 916177 1832354 2748531 3664708 5497062 7329416 10994124 21988248 33898549 67797098 101695647 135594196 136510373 203391294 271188392 273020746 406782588 409531119 546041492 813565176 819062238 1092082984 1638124476 3276248952 5050883801 10101767602 15152651403 20203535204 30305302806 40407070408 60610605612 121221211224