Search a number
-
+
121122132020 = 22542891412009
BaseRepresentation
bin111000011001101110…
…0010001000000110100
3102120122012122211020122
41300303130101000310
53441024231211040
6131350455351112
711515343064221
oct1606334210064
9376565584218
10121122132020
114740531655a
121b583682498
13b563816a06
145c103a6948
15323d75e1b5
hex1c33711034

121122132020 has 24 divisors (see below), whose sum is σ = 254415961800. Its totient is φ = 48437522432.

The previous prime is 121122132017. The next prime is 121122132023. The reversal of 121122132020 is 20231221121.

It is an interprime number because it is at equal distance from previous prime (121122132017) and next prime (121122132023).

It can be written as a sum of positive squares in 4 ways, for example, as 43666789156 + 77455342864 = 208966^2 + 278308^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121122132020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122132023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 620225 + ... + 791784.

It is an arithmetic number, because the mean of its divisors is an integer number (10600665075).

Almost surely, 2121122132020 is an apocalyptic number.

121122132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122132020 is an abundant number, since it is smaller than the sum of its proper divisors (133293829780).

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

121122132020 is a wasteful number, since it uses less digits than its factorization.

121122132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416307 (or 1416305 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 121122132020 its reverse (20231221121), we get a palindrome (141353353141).

The spelling of 121122132020 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 4289 8578 17156 21445 42890 85780 1412009 2824018 5648036 7060045 14120090 28240180 6056106601 12112213202 24224426404 30280533005 60561066010 121122132020