| Base | Representation |
|---|---|
| bin | 1011000010001111101111… |
| … | …0111001101111010000000 |
| 3 | 1120221220221111012211011200 |
| 4 | 2300203323313031322000 |
| 5 | 3042242310034400000 |
| 6 | 41445530551141200 |
| 7 | 2361411222354624 |
| oct | 260437367157200 |
| 9 | 46856844184150 |
| 10 | 12133213200000 |
| 11 | 39587375a2722 |
| 12 | 143b5b8674800 |
| 13 | 6a02071a5199 |
| 14 | 2dd371b0b184 |
| 15 | 16092cddd500 |
| hex | b08fbdcde80 |
12133213200000 has 1152 divisors, whose sum is σ = 44693388033840. Its totient is φ = 3158507520000.
The previous prime is 12133213199977. The next prime is 12133213200049. The reversal of 12133213200000 is 231233121.
12133213200000 is a `hidden beast` number, since 1 + 21 + 3 + 321 + 320 + 0 + 0 + 0 + 0 = 666.
It can be written as a sum of positive squares in 24 ways, for example, as 10389482385984 + 1743730814016 = 3223272^2 + 1320504^2 .
It is a tau number, because it is divible by the number of its divisors (1152).
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 143 ways as a sum of consecutive naturals, for example, 36003599832 + ... + 36003600168.
Almost surely, 212133213200000 is an apocalyptic number.
12133213200000 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 12133213200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22346694016920).
12133213200000 is an abundant number, since it is smaller than the sum of its proper divisors (32560174833840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12133213200000 is an equidigital number, since it uses as much as digits as its factorization.
12133213200000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 592 (or 557 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 12133213200000 its reverse (231233121), we get a palindrome (12133444433121).
The spelling of 12133213200000 in words is "twelve trillion, one hundred thirty-three billion, two hundred thirteen million, two hundred thousand".
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