Search a number
-
+
1212211001100 = 2235211367336667
BaseRepresentation
bin10001101000111101011…
…001111111011100001100
311021212221001212020102110
4101220331121333130030
5124330102004013400
62324514304424020
7153402501333231
oct21507531773414
94255831766373
101212211001100
11428106564a40
12176b27018010
138a407388c48
144295818d788
15217ebc39e50
hex11a3d67f70c

1212211001100 has 72 divisors (see below), whose sum is σ = 3826178733888. Its totient is φ = 293869332800.

The previous prime is 1212211001077. The next prime is 1212211001149. The reversal of 1212211001100 is 11001122121.

It is a super-2 number, since 2×12122110011002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183665034 + ... + 183671633.

It is an arithmetic number, because the mean of its divisors is an integer number (53141371304).

Almost surely, 21212211001100 is an apocalyptic number.

1212211001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1212211001100 is an abundant number, since it is smaller than the sum of its proper divisors (2613967732788).

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

1212211001100 is a wasteful number, since it uses less digits than its factorization.

1212211001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367336695 (or 367336688 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1212211001100 its reverse (11001122121), we get a palindrome (1223212123221).

The spelling of 1212211001100 in words is "one trillion, two hundred twelve billion, two hundred eleven million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 367336667 734673334 1102010001 1469346668 1836683335 2204020002 3673366670 4040703337 4408040004 5510050005 7346733340 8081406674 9183416675 11020100010 12122110011 16162813348 18366833350 20203516685 22040200020 24244220022 27550250025 36733666700 40407033370 48488440044 55100500050 60610550055 80814066740 101017583425 110201000100 121221100110 202035166850 242442200220 303052750275 404070333700 606105500550 1212211001100