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12245121440 = 25576532009
BaseRepresentation
bin10110110011101110…
…11011100110100000
31011121101100121202022
423121313123212200
5200034222341230
65343023241012
7612305546336
oct133167334640
934541317668
1012245121440
115214062a82
122458a49168
131201b897b6
148423c7b56
154ba03e1e5
hex2d9ddb9a0

12245121440 has 24 divisors (see below), whose sum is σ = 28929099780. Its totient is φ = 4898048512.

The previous prime is 12245121419. The next prime is 12245121467. The reversal of 12245121440 is 4412154221.

It can be written as a sum of positive squares in 2 ways, for example, as 11473837456 + 771283984 = 107116^2 + 27772^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38265845 + ... + 38266164.

Almost surely, 212245121440 is an apocalyptic number.

12245121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12245121440 is an abundant number, since it is smaller than the sum of its proper divisors (16683978340).

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

12245121440 is an equidigital number, since it uses as much as digits as its factorization.

12245121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76532024 (or 76532016 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 12245121440 its reverse (4412154221), we get a palindrome (16657275661).

The spelling of 12245121440 in words is "twelve billion, two hundred forty-five million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 76532009 153064018 306128036 382660045 612256072 765320090 1224512144 1530640180 2449024288 3061280360 6122560720 12245121440