Search a number
-
+
12121212101020 = 22511210134944487
BaseRepresentation
bin1011000001100011000010…
…0010101010000110011100
31120220202222010000211022021
42300120300202222012130
53042043220244213040
641440224042025524
72360504635613101
oct260306042520634
946822863024267
1012121212101020
113953639260400
1214392094a82a4
1369c043a47399
142dc953cc4aa8
1516047950224a
hexb06308aa19c

12121212101020 has 72 divisors (see below), whose sum is σ = 28006588707552. Its totient is φ = 4403361452160.

The previous prime is 12121212101003. The next prime is 12121212101057. The reversal of 12121212101020 is 2010121212121.

It is a junction number, because it is equal to n+sod(n) for n = 12121212100985 and 12121212101003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20784 + ... + 4923703.

It is an arithmetic number, because the mean of its divisors is an integer number (388980398716).

Almost surely, 212121212101020 is an apocalyptic number.

12121212101020 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 12121212101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14003294353776).

12121212101020 is an abundant number, since it is smaller than the sum of its proper divisors (15885376606532).

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

12121212101020 is a wasteful number, since it uses less digits than its factorization.

12121212101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945531 (or 4945518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12121212101020 its reverse (2010121212121), we get a palindrome (14131333313141).

The spelling of 12121212101020 in words is "twelve trillion, one hundred twenty-one billion, two hundred twelve million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1013 1210 2026 2420 4052 5065 10130 11143 20260 22286 44572 55715 111430 122573 222860 245146 490292 612865 1225730 2451460 4944487 9888974 19777948 24722435 49444870 54389357 98889740 108778714 217557428 271946785 543893570 598282927 1087787140 1196565854 2393131708 2991414635 5008765331 5982829270 10017530662 11965658540 20035061324 25043826655 50087653310 55096418641 100175306620 110192837282 220385674564 275482093205 550964186410 606060605051 1101928372820 1212121210102 2424242420204 3030303025255 6060606050510 12121212101020