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12322001120 = 25511213173283
BaseRepresentation
bin10110111100111001…
…01101000011100000
31011210202000111211212
423132130231003200
5200213413013440
65354411125252
7614231165342
oct133634550340
934722014755
1012322001120
1152534a2900
12247a743828
131214a96830
1484c6bb292
154c1b78465
hex2de72d0e0

12322001120 has 288 divisors, whose sum is σ = 34780759776. Its totient is φ = 4097617920.

The previous prime is 12322001099. The next prime is 12322001141. The reversal of 12322001120 is 2110022321.

It is a happy number.

12322001120 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 (12322001099) and next prime (12322001141).

It is a junction number, because it is equal to n+sod(n) for n = 12322001095 and 12322001104.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 43540499 + ... + 43540781.

It is an arithmetic number, because the mean of its divisors is an integer number (120766527).

Almost surely, 212322001120 is an apocalyptic number.

12322001120 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 12322001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17390379888).

12322001120 is an abundant number, since it is smaller than the sum of its proper divisors (22458758656).

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

12322001120 is a wasteful number, since it uses less digits than its factorization.

12322001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12322001120 its reverse (2110022321), we get a palindrome (14432023441).

The spelling of 12322001120 in words is "twelve billion, three hundred twenty-two million, one thousand, one hundred twenty".