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12122200224 = 253242090973
BaseRepresentation
bin10110100101000101…
…00001100010100000
31011021211001120112200
423102202201202200
5144311240401344
65322512453200
7606254000421
oct132242414240
934254046480
1012122200224
1151607364a2
12242384a200
1311b257c054
1482dd4b648
154ae35d069
hex2d28a18a0

12122200224 has 36 divisors (see below), whose sum is σ = 34472507706. Its totient is φ = 4040733312.

The previous prime is 12122200199. The next prime is 12122200271. The reversal of 12122200224 is 42200222121.

It can be written as a sum of positive squares in only one way, i.e., 9089715600 + 3032484624 = 95340^2 + 55068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 12122200197 and 12122200206.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21045199 + ... + 21045774.

Almost surely, 212122200224 is an apocalyptic number.

It is an amenable number.

12122200224 is an abundant number, since it is smaller than the sum of its proper divisors (22350307482).

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

12122200224 is a wasteful number, since it uses less digits than its factorization.

12122200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42090989 (or 42090978 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12122200224 its reverse (42200222121), we get a palindrome (54322422345).

The spelling of 12122200224 in words is "twelve billion, one hundred twenty-two million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42090973 84181946 126272919 168363892 252545838 336727784 378818757 505091676 673455568 757637514 1010183352 1346911136 1515275028 2020366704 3030550056 4040733408 6061100112 12122200224