Search a number
-
+
12120144300 = 223252111224257
BaseRepresentation
bin10110100100110101…
…01011100110101100
31011021200012010100100
423102122223212230
5144310224104200
65322400431100
7606230345445
oct132232534654
934250163310
1012120144300
11515a561890
122423018490
1311b200c324
1482d9742cc
154ae0a3d00
hex2d26ab9ac

12120144300 has 108 divisors (see below), whose sum is σ = 41443581816. Its totient is φ = 2938214400.

The previous prime is 12120144293. The next prime is 12120144301. The reversal of 12120144300 is 344102121.

12120144300 is a `hidden beast` number, since 1 + 21 + 201 + 443 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12120144301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 602229 + ... + 622028.

Almost surely, 212120144300 is an apocalyptic number.

12120144300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120144300 is an abundant number, since it is smaller than the sum of its proper divisors (29323437516).

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

12120144300 is a wasteful number, since it uses less digits than its factorization.

12120144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224288 (or 1224278 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12120144300 its reverse (344102121), we get a palindrome (12464246421).

The spelling of 12120144300 in words is "twelve billion, one hundred twenty million, one hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 1224257 2448514 3672771 4897028 6121285 7345542 11018313 12242570 13466827 14691084 18363855 22036626 24485140 26933654 30606425 36727710 40400481 44073252 53867308 55091565 61212850 67334135 73455420 80800962 91819275 110183130 121201443 122425700 134668270 161601924 183638550 202002405 220366260 242402886 269336540 275457825 336670675 367277100 404004810 484805772 550915650 606007215 673341350 808009620 1010012025 1101831300 1212014430 1346682700 2020024050 2424028860 3030036075 4040048100 6060072150 12120144300