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12122157312 = 283213140163
BaseRepresentation
bin10110100101000100…
…10111000100000000
31011021210222101200100
423102202113010000
5144311233013222
65322511522400
7606253431336
oct132242270400
934253871610
1012122157312
115160707231
122423829400
1311b2565665
1482dd39b56
154ae3504ac
hex2d2897100

12122157312 has 108 divisors (see below), whose sum is σ = 35218847664. Its totient is φ = 4009774080.

The previous prime is 12122157253. The next prime is 12122157329. The reversal of 12122157312 is 21375122121.

It is a happy number.

12122157312 is a `hidden beast` number, since 121 + 221 + 5 + 7 + 312 = 666.

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, 281743 + ... + 321905.

Almost surely, 212122157312 is an apocalyptic number.

12122157312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17609423832).

12122157312 is an abundant number, since it is smaller than the sum of its proper divisors (23096690352).

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

12122157312 is a wasteful number, since it uses less digits than its factorization.

12122157312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40316 (or 40299 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

Adding to 12122157312 its reverse (21375122121), we get a palindrome (33497279433).

The spelling of 12122157312 in words is "twelve billion, one hundred twenty-two million, one hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 256 262 288 384 393 524 576 768 786 1048 1152 1179 1572 2096 2304 2358 3144 4192 4716 6288 8384 9432 12576 16768 18864 25152 33536 37728 40163 50304 75456 80326 100608 120489 150912 160652 240978 301824 321304 361467 481956 642608 722934 963912 1285216 1445868 1927824 2570432 2891736 3855648 5140864 5261353 5783472 7711296 10281728 10522706 11566944 15422592 15784059 21045412 23133888 30845184 31568118 42090824 46267776 47352177 63136236 84181648 92535552 94704354 126272472 168363296 189408708 252544944 336726592 378817416 505089888 673453184 757634832 1010179776 1346906368 1515269664 2020359552 3030539328 4040719104 6061078656 12122157312