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12330002320020 = 223257112127763331
BaseRepresentation
bin1011001101101100110101…
…1010001000101010010100
31121122201220001122220101100
42303123031122020222110
53104003321043220040
642120154101030100
72411545644315540
oct263331532105224
947581801586340
1012330002320020
113a2414095a200
1214717789b5330
136b5939216578
14308abd5b0a20
15165ae9515b30
hexb36cd688a94

12330002320020 has 432 divisors, whose sum is σ = 47020617431424. Its totient is φ = 2560031654400.

The previous prime is 12330002319983. The next prime is 12330002320021. The reversal of 12330002320020 is 2002320003321.

It is a happy number.

12330002320020 is a `hidden beast` number, since 1 + 23 + 300 + 0 + 2 + 320 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12330002319975 and 12330002320002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330002320021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 194659755 + ... + 194723085.

It is an arithmetic number, because the mean of its divisors is an integer number (108844021832).

Almost surely, 212330002320020 is an apocalyptic number.

12330002320020 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 12330002320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23510308715712).

12330002320020 is an abundant number, since it is smaller than the sum of its proper divisors (34690615111404).

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

12330002320020 is a wasteful number, since it uses less digits than its factorization.

12330002320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64652 (or 64636 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12330002320020 its reverse (2002320003321), we get a palindrome (14332322323341).

The spelling of 12330002320020 in words is "twelve trillion, three hundred thirty billion, two million, three hundred twenty thousand, twenty".