Search a number
-
+
12211122201020 = 2254712990555533
BaseRepresentation
bin1011000110110001111110…
…0110011110000110111100
31121020101001002202010210222
42301230133212132012330
53100031334240413040
641545413451320512
72400136664061401
oct261543746360674
947211032663728
1012211122201020
113988787159276
121452720150138
136a76720510a2
14303042ca02a8
1516298ca21bb5
hexb1b1f99e1bc

12211122201020 has 24 divisors (see below), whose sum is σ = 26188959956544. Its totient is φ = 4780524435776.

The previous prime is 12211122201017. The next prime is 12211122201023. The reversal of 12211122201020 is 2010222111221.

It is an interprime number because it is at equal distance from previous prime (12211122201017) and next prime (12211122201023).

It is a super-2 number, since 2×122111222010202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12211122201020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211122201023) 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, 6495276827 + ... + 6495278706.

It is an arithmetic number, because the mean of its divisors is an integer number (1091206664856).

Almost surely, 212211122201020 is an apocalyptic number.

12211122201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211122201020 is an abundant number, since it is smaller than the sum of its proper divisors (13977837755524).

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

12211122201020 is a wasteful number, since it uses less digits than its factorization.

12211122201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12990555589 (or 12990555587 counting only the distinct ones).

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

Adding to 12211122201020 its reverse (2010222111221), we get a palindrome (14221344312241).

The spelling of 12211122201020 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 12990555533 25981111066 51962222132 64952777665 129905555330 259811110660 610556110051 1221112220102 2442224440204 3052780550255 6105561100510 12211122201020