Search a number
-
+
12102122200 = 2352719454967
BaseRepresentation
bin10110100010101011…
…11011101011011000
31011020102021111200011
423101111323223120
5144241120402300
65320514251304
7605621225050
oct132125735330
934212244604
1012102122200
115150372593
122418b86b34
1311ab36c26c
1482b402560
154ac6e3eba
hex2d157bad8

12102122200 has 96 divisors (see below), whose sum is σ = 33849619200. Its totient is φ = 3930906240.

The previous prime is 12102122191. The next prime is 12102122203. The reversal of 12102122200 is 222120121.

It is a happy number.

It is a super-2 number, since 2×121021222002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102122203) 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 23 ways as a sum of consecutive naturals, for example, 200884 + ... + 254083.

It is an arithmetic number, because the mean of its divisors is an integer number (352600200).

Almost surely, 212102122200 is an apocalyptic number.

12102122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102122200 is an abundant number, since it is smaller than the sum of its proper divisors (21747497000).

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

12102122200 is a wasteful number, since it uses less digits than its factorization.

12102122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455009 (or 455000 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12102122200 its reverse (222120121), we get a palindrome (12324242321).

The spelling of 12102122200 in words is "twelve billion, one hundred two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 280 350 380 475 532 665 700 760 950 1064 1330 1400 1900 2660 3325 3800 5320 6650 13300 26600 454967 909934 1819868 2274835 3184769 3639736 4549670 6369538 8644373 9099340 11374175 12739076 15923845 17288746 18198680 22748350 25478152 31847690 34577492 43221865 45496700 60510611 63695380 69154984 79619225 86443730 90993400 121021222 127390760 159238450 172887460 216109325 242042444 302553055 318476900 345774920 432218650 484084888 605106110 636953800 864437300 1210212220 1512765275 1728874600 2420424440 3025530550 6051061100 12102122200