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121002210020 = 225171732717591
BaseRepresentation
bin111000010110001001…
…0110011001011100100
3102120022212000011012002
41300230102303023210
53440303031210040
6131330533144432
711512355546336
oct1605422631344
9376285004162
10121002210020
114735365836a
121b54b48b118
13b544a19453
145bdc4ab456
153232e71a15
hex1c2c4b32e4

121002210020 has 96 divisors (see below), whose sum is σ = 271641517056. Its totient is φ = 45117388800.

The previous prime is 121002210013. The next prime is 121002210023. The reversal of 121002210020 is 20012200121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121002209983 and 121002210010.

It is not an unprimeable number, because it can be changed into a prime (121002210023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15936425 + ... + 15944015.

It is an arithmetic number, because the mean of its divisors is an integer number (2829599136).

Almost surely, 2121002210020 is an apocalyptic number.

121002210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135820758528).

121002210020 is an abundant number, since it is smaller than the sum of its proper divisors (150639307036).

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

121002210020 is a wasteful number, since it uses less digits than its factorization.

121002210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8061 (or 8059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 121002210020 its reverse (20012200121), we get a palindrome (141014410141).

The spelling of 121002210020 in words is "one hundred twenty-one billion, two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 173 271 340 346 542 692 865 1084 1355 1730 2710 2941 3460 4607 5420 5882 7591 9214 11764 14705 15182 18428 23035 29410 30364 37955 46070 46883 58820 75910 92140 93766 129047 151820 187532 234415 258094 468830 516188 645235 797011 937660 1290470 1313243 1594022 2057161 2580940 2626486 3188044 3985055 4114322 5252972 6566215 7970110 8228644 10285805 13132430 15940220 20571610 22325131 26264860 34971737 41143220 44650262 69943474 89300524 111625655 139886948 174858685 223251310 349717370 355888853 446502620 699434740 711777706 1423555412 1779444265 3558888530 6050110501 7117777060 12100221002 24200442004 30250552505 60501105010 121002210020