Base | Representation |
---|---|
bin | 11011100011110111011111… |
… | …011101011111110011000010 |
3 | 120220011202102011022220111100 |
4 | 123203313133131133303002 |
5 | 111341414204401041002 |
6 | 1105444011143355230 |
7 | 34350164610514032 |
oct | 3343673735376302 |
9 | 526152364286440 |
10 | 121212021112002 |
11 | 35692802a21707 |
12 | 11717850752b16 |
13 | 528332435b7b2 |
14 | 21d099bd0d8c2 |
15 | e0300988211c |
hex | 6e3ddf75fcc2 |
121212021112002 has 48 divisors (see below), whose sum is σ = 263086783677432. Its totient is φ = 40333157329920.
The previous prime is 121212021111983. The next prime is 121212021112003. The reversal of 121212021112002 is 200211120212121.
121212021112002 is a `hidden beast` number, since 1 + 212 + 120 + 211 + 120 + 0 + 2 = 666.
121212021112002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 97419683359881 + 23792337752121 = 9870141^2 + 4877739^2 .
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 (121212021112003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (31) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42701752 + ... + 45451772.
Almost surely, 2121212021112002 is an apocalyptic number.
121212021112002 is an abundant number, since it is smaller than the sum of its proper divisors (141874762565430).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121212021112002 is a wasteful number, since it uses less digits than its factorization.
121212021112002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2754323 (or 2754320 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 121212021112002 its reverse (200211120212121), we get a palindrome (321423141324123).
The spelling of 121212021112002 in words is "one hundred twenty-one trillion, two hundred twelve billion, twenty-one million, one hundred twelve thousand, two".
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