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12242213120 = 28529329801
BaseRepresentation
bin10110110011011000…
…10101100100000000
31011121011212212021202
423121230111210000
5200033001304440
65342441040332
7612242044304
oct133154254400
934534785252
1012242213120
115212456a05
122457a860a8
1312013abab7
14841c6bd04
154b9b67615
hex2d9b15900

12242213120 has 72 divisors (see below), whose sum is σ = 30335187960. Its totient is φ = 4728012800.

The previous prime is 12242213119. The next prime is 12242213153. The reversal of 12242213120 is 2131224221.

It can be written as a sum of positive squares in 4 ways, for example, as 1104365824 + 11137847296 = 33232^2 + 105536^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12242213092 and 12242213101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127781 + ... + 202020.

It is an arithmetic number, because the mean of its divisors is an integer number (421322055).

Almost surely, 212242213120 is an apocalyptic number.

12242213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12242213120 is an abundant number, since it is smaller than the sum of its proper divisors (18092974840).

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

12242213120 is an equidigital number, since it uses as much as digits as its factorization.

12242213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329851 (or 329837 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12242213120 its reverse (2131224221), we get a palindrome (14373437341).

The spelling of 12242213120 in words is "twelve billion, two hundred forty-two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 580 640 928 1160 1280 1856 2320 3712 4640 7424 9280 18560 37120 329801 659602 1319204 1649005 2638408 3298010 5276816 6596020 9564229 10553632 13192040 19128458 21107264 26384080 38256916 42214528 47821145 52768160 76513832 84429056 95642290 105536320 153027664 191284580 211072640 306055328 382569160 422145280 612110656 765138320 1224221312 1530276640 2448442624 3060553280 6121106560 12242213120