Search a number
-
+
1212110220 = 2235151353379
BaseRepresentation
bin100100000111111…
…0101010110001100
310010110210120122010
41020033311112030
54440300011340
6320135421220
742015524016
oct11017652614
93113716563
101212110220
11572228392
12299b24810
131641746a9
14b6da31b6
157162db80
hex483f558c

1212110220 has 96 divisors (see below), whose sum is σ = 3435102720. Its totient is φ = 319334400.

The previous prime is 1212110209. The next prime is 1212110227. The reversal of 1212110220 is 220112121.

It is a super-2 number, since 2×12121102202 = 2938422370856896800, which contains 22 as substring.

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 = 1212110196 and 1212110205.

It is not an unprimeable number, because it can be changed into a prime (1212110227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3197991 + ... + 3198369.

It is an arithmetic number, because the mean of its divisors is an integer number (35782320).

Almost surely, 21212110220 is an apocalyptic number.

1212110220 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 1212110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717551360).

1212110220 is an abundant number, since it is smaller than the sum of its proper divisors (2222992500).

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

1212110220 is a wasteful number, since it uses less digits than its factorization.

1212110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 893 counting only the distinct ones).

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

The square root of 1212110220 is about 34815.3733284594. The cubic root of 1212110220 is about 1066.2213412325.

Adding to 1212110220 its reverse (220112121), we get a palindrome (1432222341).

The spelling of 1212110220 in words is "one billion, two hundred twelve million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 353 379 453 604 706 755 758 906 1059 1137 1412 1510 1516 1765 1812 1895 2118 2265 2274 3020 3530 3790 4236 4530 4548 5295 5685 7060 7580 9060 10590 11370 21180 22740 53303 57229 106606 114458 133787 159909 171687 213212 228916 266515 267574 286145 319818 343374 401361 533030 535148 572290 639636 668935 686748 799545 802722 858435 1066060 1144580 1337870 1599090 1605444 1716870 2006805 2675740 3198180 3433740 4013610 8027220 20201837 40403674 60605511 80807348 101009185 121211022 202018370 242422044 303027555 404036740 606055110 1212110220