Base | Representation |
---|---|
bin | 1011001101100010100001… |
… | …1011001111100111010000 |
3 | 1121122110202011021110202221 |
4 | 2303120220123033213100 |
5 | 3103432133444320000 |
6 | 42115015302150424 |
7 | 2411420234164444 |
oct | 263305033174720 |
9 | 47573664243687 |
10 | 12327234370000 |
11 | 3a22a50482400 |
12 | 1471125a22414 |
13 | 6b55b792b414 |
14 | 3088d9b30824 |
15 | 1659d650c61a |
hex | b36286cf9d0 |
12327234370000 has 300 divisors, whose sum is σ = 32995534752180. Its totient is φ = 4456643840000.
The previous prime is 12327234369977. The next prime is 12327234370037. The reversal of 12327234370000 is 7343272321.
12327234370000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 10 ways, for example, as 8474666232384 + 3852568137616 = 2911128^2 + 1962796^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 209300556 + ... + 209359444.
Almost surely, 212327234370000 is an apocalyptic number.
12327234370000 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 12327234370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16497767376090).
12327234370000 is an abundant number, since it is smaller than the sum of its proper divisors (20668300382180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12327234370000 is a wasteful number, since it uses less digits than its factorization.
12327234370000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 59112 (or 59080 counting only the distinct ones).
The product of its (nonzero) digits is 42336, while the sum is 34.
The spelling of 12327234370000 in words is "twelve trillion, three hundred twenty-seven billion, two hundred thirty-four million, three hundred seventy thousand".
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