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121301103220 = 225111315098269
BaseRepresentation
bin111000011111000011…
…0111111001001110100
3102121002200102111120121
41300332012333021310
53441411040300340
6131420331341324
711522645236153
oct1607606771164
9377080374517
10121301103220
1147497346240
121b6135b1844
13b59191a52b
145c2a07359a
15324e31294a
hex1c3e1bf274

121301103220 has 96 divisors (see below), whose sum is σ = 280595145600. Its totient is φ = 43681497600.

The previous prime is 121301103211. The next prime is 121301103247. The reversal of 121301103220 is 22301103121.

It is a junction number, because it is equal to n+sod(n) for n = 121301103194 and 121301103203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14665246 + ... + 14673514.

It is an arithmetic number, because the mean of its divisors is an integer number (2922866100).

Almost surely, 2121301103220 is an apocalyptic number.

121301103220 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 121301103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140297572800).

121301103220 is an abundant number, since it is smaller than the sum of its proper divisors (159294042380).

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

121301103220 is a wasteful number, since it uses less digits than its factorization.

121301103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8929 (or 8927 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121301103220 its reverse (22301103121), we get a palindrome (143602206341).

Subtracting from 121301103220 its reverse (22301103121), we obtain a palindrome (99000000099).

The spelling of 121301103220 in words is "one hundred twenty-one billion, three hundred one million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 509 524 655 1018 1310 1441 2036 2545 2620 2882 5090 5599 5764 7205 8269 10180 11198 14410 16538 22396 27995 28820 33076 41345 55990 66679 82690 90959 111980 133358 165380 181918 266716 333395 363836 454795 666790 733469 909590 1083239 1333580 1466938 1819180 2166478 2933876 3667345 4208921 4332956 5416195 7334690 8417842 10832390 11915629 14669380 16835684 21044605 21664780 23831258 42089210 46298131 47662516 59578145 84178420 92596262 119156290 185192524 231490655 238312580 462981310 551368651 925962620 1102737302 2205474604 2756843255 5513686510 6065055161 11027373020 12130110322 24260220644 30325275805 60650551610 121301103220