Base | Representation |
---|---|
bin | 1011000000111100111111… |
… | …1011001100110010010000 |
3 | 1120212210121111102211002101 |
4 | 2300033033323030302100 |
5 | 3041411312302210000 |
6 | 41431414523130144 |
7 | 2356663620513400 |
oct | 260171773146220 |
9 | 46783544384071 |
10 | 12111001210000 |
11 | 394a2794a48a0 |
12 | 1437239973954 |
13 | 69b0a745b634 |
14 | 2dc265b46800 |
15 | 16007cd87e6a |
hex | b03cfeccc90 |
12111001210000 has 1200 divisors, whose sum is σ = 39096142829568. Its totient is φ = 3585859200000.
The previous prime is 12111001209971. The next prime is 12111001210003. The reversal of 12111001210000 is 1210011121.
12111001210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (12111001210003) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 26157669769 + ... + 26157670231.
Almost surely, 212111001210000 is an apocalyptic number.
12111001210000 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 12111001210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19548071414784).
12111001210000 is an abundant number, since it is smaller than the sum of its proper divisors (26985141619568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12111001210000 is a wasteful number, since it uses less digits than its factorization.
12111001210000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 750 (or 722 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 10.
Adding to 12111001210000 its reverse (1210011121), we get a palindrome (12112211221121).
It can be divided in two parts, 1211100 and 1210000, that added together give a triangular number (2421100 = T2200).
The spelling of 12111001210000 in words is "twelve trillion, one hundred eleven billion, one million, two hundred ten thousand".
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