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12121322130 = 2325134681357
BaseRepresentation
bin10110100100111110…
…01011001010010010
31011021202101222000200
423102133023022102
5144311024302010
65322442000030
7606243352401
oct132237131222
934252358020
1012121322130
1151601967a5
1224234a6016
1311b2332478
1482db9d638
154ae237cc0
hex2d27cb292

12121322130 has 24 divisors (see below), whose sum is σ = 31515437772. Its totient is φ = 3232352544.

The previous prime is 12121322107. The next prime is 12121322149. The reversal of 12121322130 is 3122312121.

12121322130 is a `hidden beast` number, since 1 + 212 + 1 + 322 + 130 = 666.

12121322130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11540560329 + 580761801 = 107427^2 + 24099^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67340589 + ... + 67340768.

Almost surely, 212121322130 is an apocalyptic number.

12121322130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121322130 is an abundant number, since it is smaller than the sum of its proper divisors (19394115642).

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

12121322130 is a wasteful number, since it uses less digits than its factorization.

12121322130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134681370 (or 134681367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12121322130 its reverse (3122312121), we get a palindrome (15243634251).

The spelling of 12121322130 in words is "twelve billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 134681357 269362714 404044071 673406785 808088142 1212132213 1346813570 2020220355 2424264426 4040440710 6060661065 12121322130