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121221023022 = 2321119110313109
BaseRepresentation
bin111000011100101010…
…1100000010100101110
3102120220002202000012100
41300321111200110232
53441230040214042
6131404351115530
711520653460201
oct1607125402456
9376802660170
10121221023022
114745611a860
121b5b0812ba6
13b57b15c7b8
145c1d589938
15324729524c
hex1c3956052e

121221023022 has 96 divisors (see below), whose sum is σ = 288394629120. Its totient is φ = 36494136000.

The previous prime is 121221022973. The next prime is 121221023047. The reversal of 121221023022 is 220320122121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121221022986 and 121221023004.

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 47 ways as a sum of consecutive naturals, for example, 38988804 + ... + 38991912.

It is an arithmetic number, because the mean of its divisors is an integer number (3004110720).

Almost surely, 2121221023022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121221023022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144197314560).

121221023022 is an abundant number, since it is smaller than the sum of its proper divisors (167173606098).

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

121221023022 is a wasteful number, since it uses less digits than its factorization.

121221023022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121221023022 its reverse (220320122121), we get a palindrome (341541145143).

Subtracting 121221023022 from its reverse (220320122121), we obtain a palindrome (99099099099).

The spelling of 121221023022 in words is "one hundred twenty-one billion, two hundred twenty-one million, twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 191 198 382 573 1031 1146 1719 2062 2101 3093 3109 3438 4202 6186 6218 6303 9279 9327 11341 12606 18558 18654 18909 22682 27981 34023 34199 37818 55962 68046 68398 102069 102597 196921 204138 205194 307791 393842 590763 593819 615582 1181526 1187638 1772289 1781457 2166131 3205379 3544578 3562914 4332262 5344371 6410758 6498393 6532009 9616137 10688742 12996786 13064018 19232274 19495179 19596027 28848411 35259169 38990358 39192054 57696822 58788081 70518338 105777507 117576162 211555014 317332521 612227389 634665042 1224454778 1836682167 3673364334 5510046501 6734501279 11020093002 13469002558 20203503837 40407007674 60610511511 121221023022