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12322001220 = 22351937614789
BaseRepresentation
bin10110111100111001…
…01101000101000100
31011210202000111222120
423132130231011010
5200213413014340
65354411125540
7614231165544
oct133634550504
934722014876
1012322001220
1152534a2991
12247a7438b0
131214a968a9
1484c6bb324
154c1b784d0
hex2de72d144

12322001220 has 192 divisors, whose sum is σ = 37918406400. Its totient is φ = 2978519040.

The previous prime is 12322001213. The next prime is 12322001227. The reversal of 12322001220 is 2210022321.

It is a happy number.

12322001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12322001213) and next prime (12322001227).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12322001220.

It is not an unprimeable number, because it can be changed into a prime (12322001227) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2570586 + ... + 2575374.

It is an arithmetic number, because the mean of its divisors is an integer number (197491700).

Almost surely, 212322001220 is an apocalyptic number.

12322001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12322001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18959203200).

12322001220 is an abundant number, since it is smaller than the sum of its proper divisors (25596405180).

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

12322001220 is a wasteful number, since it uses less digits than its factorization.

12322001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12322001220 its reverse (2210022321), we get a palindrome (14532023541).

The spelling of 12322001220 in words is "twelve billion, three hundred twenty-two million, one thousand, two hundred twenty".