Search a number
-
+
12300020033220 = 22325148361460589
BaseRepresentation
bin1011001011111101001001…
…0100110010011011000100
31121112212111112200220221200
42302333102110302123010
53103010420112030340
642054315020342500
72406434651142633
oct262772224623304
947485445626850
1012300020033220
113a12455714387
1214679ab9a4a30
136b2b6b713a6a
1430747765751a
15164e4223a330
hexb2fd25326c4

12300020033220 has 72 divisors (see below), whose sum is σ = 37310393254680. Its totient is φ = 3279976112640.

The previous prime is 12300020033209. The next prime is 12300020033233. The reversal of 12300020033220 is 2233002000321.

It is a happy number.

12300020033220 is a `hidden beast` number, since 12 + 300 + 0 + 2 + 0 + 0 + 332 + 20 = 666.

12300020033220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 102268202436 + 12197751830784 = 319794^2 + 3492528^2 .

It is a super-2 number, since 2×123000200332202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12300020033193 and 12300020033202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26474686 + ... + 26935274.

It is an arithmetic number, because the mean of its divisors is an integer number (518199906315).

Almost surely, 212300020033220 is an apocalyptic number.

12300020033220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300020033220 is an abundant number, since it is smaller than the sum of its proper divisors (25010373221460).

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

12300020033220 is a wasteful number, since it uses less digits than its factorization.

12300020033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608965 (or 608960 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12300020033220 its reverse (2233002000321), we get a palindrome (14533022033541).

The spelling of 12300020033220 in words is "twelve trillion, three hundred billion, twenty million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 148361 296722 445083 460589 593444 741805 890166 921178 1335249 1381767 1483610 1780332 1842356 2225415 2302945 2670498 2763534 2967220 4145301 4450830 4605890 5340996 5527068 6676245 6908835 8290602 8901660 9211780 13352490 13817670 16581204 20726505 26704980 27635340 41453010 82906020 68333444629 136666889258 205000333887 273333778516 341667223145 410000667774 615001001661 683334446290 820001335548 1025001669435 1230002003322 1366668892580 2050003338870 2460004006644 3075005008305 4100006677740 6150010016610 12300020033220