Base | Representation |
---|---|
bin | 1011001101010010110000… |
… | …1010001001111110000000 |
3 | 1121122001211012101102111200 |
4 | 2303110230022021332000 |
5 | 3103400002010011000 |
6 | 42113035312341200 |
7 | 2411210322666552 |
oct | 263245412117600 |
9 | 47561735342450 |
10 | 12323002032000 |
11 | 3a21179429200 |
12 | 1470344544800 |
13 | 6b5091b3c4ca |
14 | 3086179bb4d2 |
15 | 165839b91500 |
hex | b352c289f80 |
12323002032000 has 1152 divisors, whose sum is σ = 49235753417760. Its totient is φ = 2951055360000.
The previous prime is 12323002031999. The next prime is 12323002032097. The reversal of 12323002032000 is 23020032321.
It is a happy number.
12323002032000 is a `hidden beast` number, since 1 + 2 + 323 + 0 + 0 + 20 + 320 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×123230020320002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1446187740 + ... + 1446196260.
Almost surely, 212323002032000 is an apocalyptic number.
12323002032000 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 12323002032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24617876708880).
12323002032000 is an abundant number, since it is smaller than the sum of its proper divisors (36912751385760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12323002032000 is a wasteful number, since it uses less digits than its factorization.
12323002032000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8661 (or 8625 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 12323002032000 its reverse (23020032321), we get a palindrome (12346022064321).
The spelling of 12323002032000 in words is "twelve trillion, three hundred twenty-three billion, two million, thirty-two thousand".
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