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12121307568 = 2432412053067
BaseRepresentation
bin10110100100111110…
…00111100110110000
31011021202101020001100
423102133013212300
5144311023320233
65322441404400
7606243262056
oct132237074660
934252336040
1012121307568
115160186867
122423499700
1311b2328956
1482db981d6
154ae233813
hex2d27c79b0

12121307568 has 60 divisors (see below), whose sum is σ = 34750228968. Its totient is φ = 3941886720.

The previous prime is 12121307543. The next prime is 12121307591. The reversal of 12121307568 is 86570312121.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1020630 + ... + 1032437.

Almost surely, 212121307568 is an apocalyptic number.

12121307568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12121307568 is an abundant number, since it is smaller than the sum of its proper divisors (22628921400).

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

12121307568 is a wasteful number, since it uses less digits than its factorization.

12121307568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053122 (or 2053113 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 12121307568 its reverse (86570312121), we get a palindrome (98691619689).

The spelling of 12121307568 in words is "twelve billion, one hundred twenty-one million, three hundred seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 2053067 4106134 6159201 8212268 12318402 16424536 18477603 24636804 32849072 36955206 49273608 73910412 84175747 98547216 147820824 168351494 252527241 295641648 336702988 505054482 673405976 757581723 1010108964 1346811952 1515163446 2020217928 3030326892 4040435856 6060653784 12121307568