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121221111020 = 225311016013221
BaseRepresentation
bin111000011100101010…
…1110101110011101100
3102120220002220110220112
41300321111311303230
53441230101023040
6131404353035152
711520654304562
oct1607125656354
9376802813815
10121221111020
114745617a989
121b5b0855ab8
13b57b190879
145c1d5ada32
1532472b1365
hex1c39575cec

121221111020 has 96 divisors (see below), whose sum is σ = 265901916672. Its totient is φ = 46368000000.

The previous prime is 121221110993. The next prime is 121221111043. The reversal of 121221111020 is 20111122121.

It is a junction number, because it is equal to n+sod(n) for n = 121221110986 and 121221111004.

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, 37633010 + ... + 37636230.

It is an arithmetic number, because the mean of its divisors is an integer number (2769811632).

Almost surely, 2121221111020 is an apocalyptic number.

121221111020 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 121221111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132950958336).

121221111020 is an abundant number, since it is smaller than the sum of its proper divisors (144680805652).

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

121221111020 is a wasteful number, since it uses less digits than its factorization.

121221111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121221111020 its reverse (20111122121), we get a palindrome (141332233141).

The spelling of 121221111020 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 601 620 1010 1202 2020 2404 3005 3131 3221 6010 6262 6442 12020 12524 12884 15655 16105 18631 31310 32210 37262 60701 62620 64420 74524 93155 99851 121402 186310 199702 242804 303505 325321 372620 399404 499255 607010 650642 998510 1214020 1301284 1626605 1881731 1935821 1997020 3253210 3763462 3871642 6506420 7526924 7743284 9408655 9679105 10084951 18817310 19358210 20169902 37634620 38716420 40339804 50424755 60010451 100849510 120020902 195517921 201699020 240041804 300052255 391035842 600104510 782071684 977589605 1200209020 1955179210 3910358420 6061055551 12122111102 24244222204 30305277755 60610555510 121221111020