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12121145322 = 23111319970991
BaseRepresentation
bin10110100100111100…
…11111111111101010
31011021202001222111020
423102132133333222
5144311003122242
65322434113310
7606242015046
oct132236377752
934252058436
1012121145322
115160085980
12242341b836
1311b229cb50
1482db55026
154ae2006ec
hex2d279ffea

12121145322 has 64 divisors (see below), whose sum is σ = 28623974400. Its totient is φ = 3373444800.

The previous prime is 12121145321. The next prime is 12121145353. The reversal of 12121145322 is 22354112121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12121145292 and 12121145301.

It is not an unprimeable number, because it can be changed into a prime (12121145321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135247 + ... + 206237.

It is an arithmetic number, because the mean of its divisors is an integer number (447249600).

Almost surely, 212121145322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121145322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14311987200).

12121145322 is an abundant number, since it is smaller than the sum of its proper divisors (16502829078).

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

12121145322 is a wasteful number, since it uses less digits than its factorization.

12121145322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71219.

The product of its digits is 960, while the sum is 24.

Adding to 12121145322 its reverse (22354112121), we get a palindrome (34475257443).

The spelling of 12121145322 in words is "twelve billion, one hundred twenty-one million, one hundred forty-five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 199 286 398 429 597 858 1194 2189 2587 4378 5174 6567 7761 13134 15522 28457 56914 70991 85371 141982 170742 212973 425946 780901 922883 1561802 1845766 2342703 2768649 4685406 5537298 10151713 14127209 20303426 28254418 30455139 42381627 60910278 84763254 155399299 183653717 310798598 367307434 466197897 550961151 932395794 1101922302 2020190887 4040381774 6060572661 12121145322