Base | Representation |
---|---|
bin | 1010111010100110111110… |
… | …1110010000110001010000 |
3 | 1120111101021220221021122102 |
4 | 2232221233232100301100 |
5 | 3033120110313221222 |
6 | 41305352040055532 |
7 | 2346055033305104 |
oct | 256515756206120 |
9 | 46441256837572 |
10 | 12002013023312 |
11 | 3908030507034 |
12 | 141a0a1a645a8 |
13 | 690a28776940 |
14 | 2d6c870a7904 |
15 | 15c2eea06d92 |
hex | aea6fb90c50 |
12002013023312 has 160 divisors (see below), whose sum is σ = 25687614054144. Its totient is φ = 5398576128000.
The previous prime is 12002013023311. The next prime is 12002013023327. The reversal of 12002013023312 is 21332031020021.
12002013023312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×120020130233122 (a number of 27 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12002013023311) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2577196088 + ... + 2577200744.
Almost surely, 212002013023312 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12002013023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843807027072).
12002013023312 is an abundant number, since it is smaller than the sum of its proper divisors (13685601030832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12002013023312 is a wasteful number, since it uses less digits than its factorization.
12002013023312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6677 (or 6671 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
Adding to 12002013023312 its reverse (21332031020021), we get a palindrome (33334044043333).
The spelling of 12002013023312 in words is "twelve trillion, two billion, thirteen million, twenty-three thousand, three hundred twelve".
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