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121222221021 = 32118316788339
BaseRepresentation
bin111000011100101101…
…0000100110011011101
3102120220011222212112200
41300321122010303131
53441230342033041
6131404432522113
711520666606666
oct1607132046335
9376804885480
10121222221021
1147456868940
121b5b10b0339
13b57b48bb85
145c1d7bc36d
1532474301b6
hex1c39684cdd

121222221021 has 48 divisors (see below), whose sum is σ = 194478036480. Its totient is φ = 72147411360.

The previous prime is 121222220969. The next prime is 121222221041. The reversal of 121222221021 is 120122222121.

It is a happy number.

121222221021 is a `hidden beast` number, since 1 + 212 + 222 + 210 + 21 = 666.

It is not a de Polignac number, because 121222221021 - 210 = 121222219997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121222220985 and 121222221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222221041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1328070 + ... + 1416408.

It is an arithmetic number, because the mean of its divisors is an integer number (4051625760).

Almost surely, 2121222221021 is an apocalyptic number.

121222221021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121222221021 is a deficient number, since it is larger than the sum of its proper divisors (73255815459).

121222221021 is a wasteful number, since it uses less digits than its factorization.

121222221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88606 (or 88603 counting only the distinct ones).

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

Adding to 121222221021 its reverse (120122222121), we get a palindrome (241344443142).

It can be divided in two parts, 121222 and 221021, that added together give a palindrome (342243).

The spelling of 121222221021 in words is "one hundred twenty-one billion, two hundred twenty-two million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 11 33 83 99 167 249 501 747 913 1503 1837 2739 5511 8217 13861 16533 41583 88339 124749 152471 265017 457413 795051 971729 1372239 2915187 7332137 8745561 14752613 21996411 44257839 65989233 80653507 132773517 162278743 241960521 486836229 725881563 1224466879 1460508687 3673400637 11020201911 13469135669 40407407007 121222221021