Search a number
-
+
121221001020 = 22357241231633
BaseRepresentation
bin111000011100101010…
…1011010111100111100
3102120220002200220000110
41300321111122330330
53441230034013040
6131404350430020
711520653336100
oct1607125327474
9376802626013
10121221001020
1147456105279
121b5b0802310
13b57b152792
145c1d581900
15324728d980
hex1c3955af3c

121221001020 has 72 divisors (see below), whose sum is σ = 394834127184. Its totient is φ = 27707656704.

The previous prime is 121221001009. The next prime is 121221001073. The reversal of 121221001020 is 20100122121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121221000987 and 121221001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20612877 + ... + 20618756.

It is an arithmetic number, because the mean of its divisors is an integer number (5483807322).

Almost surely, 2121221001020 is an apocalyptic number.

121221001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221001020 is an abundant number, since it is smaller than the sum of its proper divisors (273613126164).

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

121221001020 is a wasteful number, since it uses less digits than its factorization.

121221001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41231659 (or 41231650 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121221001020 its reverse (20100122121), we get a palindrome (141321123141).

The spelling of 121221001020 in words is "one hundred twenty-one billion, two hundred twenty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 41231633 82463266 123694899 164926532 206158165 247389798 288621431 412316330 494779596 577242862 618474495 824632660 865864293 1154485724 1236948990 1443107155 1731728586 2020350017 2473897980 2886214310 3463457172 4040700034 4329321465 5772428620 6061050051 8081400068 8658642930 10101750085 12122100102 17317285860 20203500170 24244200204 30305250255 40407000340 60610500510 121221001020