Base | Representation |
---|---|
bin | 1011000111010111001110… |
… | …0001110100000111110010 |
3 | 1121021022211212202011201000 |
4 | 2301311303201310013302 |
5 | 3100212323232414302 |
6 | 41554145523222430 |
7 | 2400642515504103 |
oct | 261656341640762 |
9 | 47238755664630 |
10 | 12221120201202 |
11 | 3991a47827840 |
12 | 1454650517a16 |
13 | 6a85a64bb223 |
14 | 303710a623aa |
15 | 162d7563731c |
hex | b1d738741f2 |
12221120201202 has 128 divisors (see below), whose sum is σ = 29764309248000. Its totient is φ = 3686208436800.
The previous prime is 12221120201197. The next prime is 12221120201203. The reversal of 12221120201202 is 20210202112221.
It is a happy number.
12221120201202 is a `hidden beast` number, since 122 + 21 + 120 + 201 + 202 = 666.
It is a super-2 number, since 2×122211202012022 (a number of 27 digits) contains 22 as substring.
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 (12221120201203) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 835853452 + ... + 835868072.
It is an arithmetic number, because the mean of its divisors is an integer number (232533666000).
Almost surely, 212221120201202 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12221120201202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14882154624000).
12221120201202 is an abundant number, since it is smaller than the sum of its proper divisors (17543189046798).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12221120201202 is a wasteful number, since it uses less digits than its factorization.
12221120201202 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21069 (or 21063 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 12221120201202 its reverse (20210202112221), we get a palindrome (32431322313423).
The spelling of 12221120201202 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty million, two hundred one thousand, two hundred two".
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