Base | Representation |
---|---|
bin | 1010111010101000001010… |
… | …1111111010011010010000 |
3 | 1120111102010011120022110112 |
4 | 2232222002233322122100 |
5 | 3033121234022114440 |
6 | 41305443441420452 |
7 | 2346065660411561 |
oct | 256520257723220 |
9 | 46442104508415 |
10 | 12002332223120 |
11 | 3908184704628 |
12 | 141a17093a728 |
13 | 690a79937875 |
14 | 2d6cb7638168 |
15 | 15c31ca59965 |
hex | aea82bfa690 |
12002332223120 has 320 divisors, whose sum is σ = 30289469349888. Its totient is φ = 4411190784000.
The previous prime is 12002332223087. The next prime is 12002332223149. The reversal of 12002332223120 is 2132223320021.
12002332223120 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 (23).
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, 7943303165 + ... + 7943304675.
Almost surely, 212002332223120 is an apocalyptic number.
12002332223120 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 12002332223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15144734674944).
12002332223120 is an abundant number, since it is smaller than the sum of its proper divisors (18287137126768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12002332223120 is a wasteful number, since it uses less digits than its factorization.
12002332223120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3142 (or 3136 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 23.
Adding to 12002332223120 its reverse (2132223320021), we get a palindrome (14134555543141).
The spelling of 12002332223120 in words is "twelve trillion, two billion, three hundred thirty-two million, two hundred twenty-three thousand, one hundred twenty".
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