Base | Representation |
---|---|
bin | 1010111011101110001010… |
… | …1101101100000100010010 |
3 | 1120120012121200002002001100 |
4 | 2232323202231230010102 |
5 | 3033423224230401002 |
6 | 41322232142245230 |
7 | 2350332420050100 |
oct | 256734255540422 |
9 | 46505550062040 |
10 | 12021122122002 |
11 | 3915147058784 |
12 | 1421935586816 |
13 | 6927826c2426 |
14 | 2d7b7ad20c70 |
15 | 15ca6c44211c |
hex | aeee2b6c112 |
12021122122002 has 144 divisors (see below), whose sum is σ = 32102244974592. Its totient is φ = 3230367194880.
The previous prime is 12021122122001. The next prime is 12021122122003. The reversal of 12021122122002 is 20022122112021.
It is a happy number.
12021122122002 is a `hidden beast` number, since 12 + 0 + 211 + 221 + 220 + 0 + 2 = 666.
12021122122002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (12021122122001) and next prime (12021122122003).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (12021122122001) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21783663 + ... + 22328685.
It is an arithmetic number, because the mean of its divisors is an integer number (222932256768).
Almost surely, 212021122122002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12021122122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16051122487296).
12021122122002 is an abundant number, since it is smaller than the sum of its proper divisors (20081122852590).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12021122122002 is a wasteful number, since it uses less digits than its factorization.
12021122122002 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 546533 (or 546523 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 12021122122002 its reverse (20022122112021), we get a palindrome (32043244234023).
The spelling of 12021122122002 in words is "twelve trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, two".
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