Search a number
-
+
12122111202020 = 225699786623633
BaseRepresentation
bin1011000001100110011000…
…1000011101001011100100
31120220212021202211220000022
42300121212020131023210
53042102040431431040
641440453200534312
72360536134055601
oct260314610351344
946825252756008
1012122111202020
113953a5a829286
12143941a621398
1369c1580b7801
142dc9db4896a8
151604cd4026b5
hexb066621d2e4

12122111202020 has 24 divisors (see below), whose sum is σ = 25460072010744. Its totient is φ = 4848151435776.

The previous prime is 12122111202017. The next prime is 12122111202023. The reversal of 12122111202020 is 2020211122121.

It is an interprime number because it is at equal distance from previous prime (12122111202017) and next prime (12122111202023).

It can be written as a sum of positive squares in 4 ways, for example, as 363068912704 + 11759042289316 = 602552^2 + 3429146^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12122111202020.

It is not an unprimeable number, because it can be changed into a prime (12122111202023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43171877 + ... + 43451756.

It is an arithmetic number, because the mean of its divisors is an integer number (1060836333781).

Almost surely, 212122111202020 is an apocalyptic number.

12122111202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122111202020 is an abundant number, since it is smaller than the sum of its proper divisors (13337960808724).

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

12122111202020 is a wasteful number, since it uses less digits than its factorization.

12122111202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86630639 (or 86630637 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12122111202020 its reverse (2020211122121), we get a palindrome (14142322324141).

The spelling of 12122111202020 in words is "twelve trillion, one hundred twenty-two billion, one hundred eleven million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 6997 13994 27988 34985 69970 139940 86623633 173247266 346494532 433118165 866236330 1732472660 606105560101 1212211120202 2424422240404 3030527800505 6061055601010 12122111202020