Base | Representation |
---|---|
bin | 1010111010100111011000… |
… | …0111000111011100010000 |
3 | 1120111101120101121112011110 |
4 | 2232221312013013130100 |
5 | 3033120320232431000 |
6 | 41305410425213320 |
7 | 2346060504306315 |
oct | 256516607073420 |
9 | 46441511545143 |
10 | 12002120202000 |
11 | 3908085a60a65 |
12 | 141a111931240 |
13 | 690a44a31a96 |
14 | 2d6c97406d0c |
15 | 15c309128850 |
hex | aea761c7710 |
12002120202000 has 160 divisors (see below), whose sum is σ = 38710505119104. Its totient is φ = 3199269312000.
The previous prime is 12002120201963. The next prime is 12002120202047. The reversal of 12002120202000 is 20202120021.
12002120202000 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 (12).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14458215 + ... + 15265785.
Almost surely, 212002120202000 is an apocalyptic number.
12002120202000 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 12002120202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19355252559552).
12002120202000 is an abundant number, since it is smaller than the sum of its proper divisors (26708384917104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12002120202000 is a wasteful number, since it uses less digits than its factorization.
12002120202000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 810074 (or 810058 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 12002120202000 its reverse (20202120021), we get a palindrome (12022322322021).
The spelling of 12002120202000 in words is "twelve trillion, two billion, one hundred twenty million, two hundred two thousand".
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