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12122220312 = 2332374550383
BaseRepresentation
bin10110100101000101…
…00110011100011000
31011021211002121002200
423102202212130120
5144311242022222
65322513130200
7606254113116
oct132242463430
934254077080
1012122220312
11516074a5a4
122423859960
1311b2588237
1482dd54ab6
154ae363eac
hex2d28a6718

12122220312 has 48 divisors (see below), whose sum is σ = 33718345440. Its totient is φ = 3931530048.

The previous prime is 12122220263. The next prime is 12122220359. The reversal of 12122220312 is 21302222121.

12122220312 is a `hidden beast` number, since 12 + 122 + 220 + 312 = 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 11 ways as a sum of consecutive naturals, for example, 2272528 + ... + 2277855.

It is an arithmetic number, because the mean of its divisors is an integer number (702465530).

Almost surely, 212122220312 is an apocalyptic number.

12122220312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122220312 is an abundant number, since it is smaller than the sum of its proper divisors (21596125128).

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

12122220312 is a wasteful number, since it uses less digits than its factorization.

12122220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550432 (or 4550425 counting only the distinct ones).

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

Adding to 12122220312 its reverse (21302222121), we get a palindrome (33424442433).

The spelling of 12122220312 in words is "twelve billion, one hundred twenty-two million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 4550383 9100766 13651149 18201532 27302298 36403064 40953447 54604596 81906894 109209192 163813788 168364171 327627576 336728342 505092513 673456684 1010185026 1346913368 1515277539 2020370052 3030555078 4040740104 6061110156 12122220312