Base | Representation |
---|---|
bin | 1011000110110001111110… |
… | …1010101111010011000000 |
3 | 1121020101001011211222202200 |
4 | 2301230133222233103000 |
5 | 3100031340032220000 |
6 | 41545413531313200 |
7 | 2400140006431623 |
oct | 261543752572300 |
9 | 47211034758680 |
10 | 12211123320000 |
11 | 3988787852a50 |
12 | 14527205ab800 |
13 | 6a76723534c7 |
14 | 3030430b1dba |
15 | 16298cb93500 |
hex | b1b1faaf4c0 |
12211123320000 has 840 divisors, whose sum is σ = 49003473831312. Its totient is φ = 2880230400000.
The previous prime is 12211123319929. The next prime is 12211123320029. The reversal of 12211123320000 is 2332111221.
12211123320000 is a `hidden beast` number, since 1 + 221 + 1 + 123 + 320 + 0 + 0 + 0 = 666.
It is a super-2 number, since 2×122111233200002 (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 an unprimeable number.
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 119 ways as a sum of consecutive naturals, for example, 146478330 + ... + 146561670.
Almost surely, 212211123320000 is an apocalyptic number.
12211123320000 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 12211123320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24501736915656).
12211123320000 is an abundant number, since it is smaller than the sum of its proper divisors (36792350511312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12211123320000 is a wasteful number, since it uses less digits than its factorization.
12211123320000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83427 (or 83399 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 12211123320000 its reverse (2332111221), we get a palindrome (12213455431221).
The spelling of 12211123320000 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-three million, three hundred twenty thousand".
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