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12257324961 = 372372253599
BaseRepresentation
bin10110110101001011…
…11110111110100001
31011122020022121211120
423122211332332201
5200100333344321
65344141002453
7612514354200
oct133245767641
934566277746
1012257324961
11521aa38732
122460b53429
13120457030b
14843c83237
154bb14eec6
hex2da97efa1

12257324961 has 24 divisors (see below), whose sum is σ = 19525190400. Its totient is φ = 6814880352.

The previous prime is 12257324957. The next prime is 12257324969. The reversal of 12257324961 is 16942375221.

It is a happy number.

It is not a de Polignac number, because 12257324961 - 22 = 12257324957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12257324969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121361 + ... + 1132238.

It is an arithmetic number, because the mean of its divisors is an integer number (813549600).

Almost surely, 212257324961 is an apocalyptic number.

It is an amenable number.

12257324961 is a deficient number, since it is larger than the sum of its proper divisors (7267865439).

12257324961 is a wasteful number, since it uses less digits than its factorization.

12257324961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253653 (or 2253646 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The spelling of 12257324961 in words is "twelve billion, two hundred fifty-seven million, three hundred twenty-four thousand, nine hundred sixty-one".

Divisors: 1 3 7 21 37 49 111 147 259 777 1813 5439 2253599 6760797 15775193 47325579 83383163 110426351 250149489 331279053 583682141 1751046423 4085774987 12257324961