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121000000122 = 23417139316087
BaseRepresentation
bin111000010110000101…
…0010111101001111010
3102120022200211212210000
41300230022113221322
53440302000000442
6131330413533430
711512331013441
oct1605412275172
9376280755700
10121000000122
1147352389001
121b54a7a4276
13b544424611
145bdc093d58
153232b86d4c
hex1c2c297a7a

121000000122 has 80 divisors (see below), whose sum is σ = 289144658880. Its totient is φ = 37687565952.

The previous prime is 121000000111. The next prime is 121000000127. The reversal of 121000000122 is 221000000121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (121000000127) 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 39 ways as a sum of consecutive naturals, for example, 224763 + ... + 540849.

It is an arithmetic number, because the mean of its divisors is an integer number (3614308236).

Almost surely, 2121000000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121000000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144572329440).

121000000122 is an abundant number, since it is smaller than the sum of its proper divisors (168144658758).

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

121000000122 is a wasteful number, since it uses less digits than its factorization.

121000000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316257 (or 316248 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121000000122 its reverse (221000000121), we get a palindrome (342000000243).

Subtracting 121000000122 from its reverse (221000000121), we obtain a palindrome (99999999999).

The spelling of 121000000122 in words is "one hundred twenty-one billion, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 139 153 162 278 306 417 459 834 918 1251 1377 2363 2502 2754 3753 4726 7089 7506 11259 14178 21267 22518 42534 63801 127602 191403 316087 382806 632174 948261 1896522 2844783 5373479 5689566 8534349 10746958 16120437 17068698 25603047 32240874 43936093 48361311 51206094 87872186 96722622 131808279 145083933 263616558 290167866 395424837 435251799 746913581 790849674 870503598 1186274511 1493827162 2240740743 2372549022 3558823533 4481481486 6722222229 7117647066 13444444458 20166666687 40333333374 60500000061 121000000122