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12330303222120 = 233513191014118833
BaseRepresentation
bin1011001101101101111101…
…0101111111000101101000
31121122202200000212022110120
42303123133111333011220
53104004430111101440
642120244010243240
72411556260043252
oct263333725770550
947582600768416
1012330303222120
113a2428579a424
121471841726520
136b598666bb50
14308b0b53acd2
15165b15b51dd0
hexb36df57f168

12330303222120 has 256 divisors, whose sum is σ = 42348203654400. Its totient is φ = 2846936678400.

The previous prime is 12330303222113. The next prime is 12330303222143. The reversal of 12330303222120 is 2122230303321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 934224 + ... + 5053056.

It is an arithmetic number, because the mean of its divisors is an integer number (165422670525).

Almost surely, 212330303222120 is an apocalyptic number.

12330303222120 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 12330303222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21174101827200).

12330303222120 is an abundant number, since it is smaller than the sum of its proper divisors (30017900432280).

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

12330303222120 is a wasteful number, since it uses less digits than its factorization.

12330303222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118980 (or 4118976 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12330303222120 its reverse (2122230303321), we get a palindrome (14452533525441).

The spelling of 12330303222120 in words is "twelve trillion, three hundred thirty billion, three hundred three million, two hundred twenty-two thousand, one hundred twenty".