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12111221121021 = 3311315324819551
BaseRepresentation
bin1011000000111101110100…
…0010000101111111111101
31120212211011211020110022000
42300033131002011333331
53041412240101333041
641431452420412513
72360002230646401
oct260173502057775
946784154213260
1012111221121021
11394a381647240
12143729b547139
1369b110b976b9
142dc28702d101
15160092326bb6
hexb03dd085ffd

12111221121021 has 64 divisors (see below), whose sum is σ = 20586329210880. Its totient is φ = 6969329640000.

The previous prime is 12111221120987. The next prime is 12111221121047. The reversal of 12111221121021 is 12012112211121.

It is a happy number.

12111221121021 is a `hidden beast` number, since 1 + 211 + 1 + 221 + 1 + 210 + 21 = 666.

It is not a de Polignac number, because 12111221121021 - 210 = 12111221119997 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12111221120985 and 12111221121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111221121061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11921805 + ... + 12897746.

It is an arithmetic number, because the mean of its divisors is an integer number (321661393920).

Almost surely, 212111221121021 is an apocalyptic number.

12111221121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111221121021 is a deficient number, since it is larger than the sum of its proper divisors (8475108089859).

12111221121021 is a wasteful number, since it uses less digits than its factorization.

12111221121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24819655 (or 24819649 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12111221121021 its reverse (12012112211121), we get a palindrome (24123333332142).

The spelling of 12111221121021 in words is "twelve trillion, one hundred eleven billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 11 27 31 33 53 93 99 159 279 297 341 477 583 837 1023 1431 1643 1749 3069 4929 5247 9207 14787 15741 18073 44361 54219 162657 487971 24819551 74458653 223375959 273015061 670127877 769406081 819045183 1315436203 2308218243 2457135549 3946308609 6924654729 7371406647 8463466891 11838925827 14469798233 20773964187 25390400673 35516777481 40778522293 43409394699 76171202019 122335566879 130228184097 228513606057 367006700637 390684552291 448563745223 1101020101911 1345691235669 4037073707007 12111221121021