Search a number
-
+
12042222300 = 22325223475701
BaseRepresentation
bin10110011011100010…
…11011101011011100
31011002020120021110100
423031301123223130
5144130302103200
65310534341100
7604263125553
oct131561335334
934066507410
1012042222300
11511a57a939
122400aba790
13119bb28a34
1482348cd9a
154a7310d00
hex2cdc5badc

12042222300 has 108 divisors (see below), whose sum is σ = 37768383016. Its totient is φ = 3209328000.

The previous prime is 12042222293. The next prime is 12042222337. The reversal of 12042222300 is 322224021.

12042222300 is a `hidden beast` number, since 1 + 20 + 422 + 223 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2109450 + ... + 2115150.

Almost surely, 212042222300 is an apocalyptic number.

12042222300 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 12042222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18884191508).

12042222300 is an abundant number, since it is smaller than the sum of its proper divisors (25726160716).

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

12042222300 is a wasteful number, since it uses less digits than its factorization.

12042222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8068 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12042222300 its reverse (322224021), we get a palindrome (12364446321).

The spelling of 12042222300 in words is "twelve billion, forty-two million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2347 4694 5701 7041 9388 11402 11735 14082 17103 21123 22804 23470 28164 28505 34206 35205 42246 46940 51309 57010 58675 68412 70410 84492 85515 102618 105615 114020 117350 140820 142525 171030 176025 205236 211230 234700 256545 285050 342060 352050 422460 427575 513090 528075 570100 704100 855150 1026180 1056150 1282725 1710300 2112300 2565450 5130900 13380247 26760494 40140741 53520988 66901235 80281482 120422223 133802470 160562964 200703705 240844446 267604940 334506175 401407410 481688892 602111115 669012350 802814820 1003518525 1204222230 1338024700 2007037050 2408444460 3010555575 4014074100 6021111150 12042222300