| Base | Representation |
|---|---|
| bin | 1001000110110010011001… |
| … | …1010110001110111110000 |
| 3 | 1022110011021100202020212000 |
| 4 | 2101230212122301313300 |
| 5 | 2303020003102234300 |
| 6 | 33143314114534000 |
| 7 | 2052233660016606 |
| oct | 221544632616760 |
| 9 | 38404240666760 |
| 10 | 10012213321200 |
| 11 | 3210179447002 |
| 12 | 1158525b97300 |
| 13 | 5781bc55c7bc |
| 14 | 2688451d9876 |
| 15 | 12569229ec00 |
| hex | 91b266b1df0 |
10012213321200 has 240 divisors, whose sum is σ = 35638533392640. Its totient is φ = 2669738469120.
The previous prime is 10012213321183. The next prime is 10012213321211. The reversal of 10012213321200 is 212331221001.
10012213321200 is a `hidden beast` number, since 10 + 0 + 122 + 1 + 332 + 1 + 200 = 666.
10012213321200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236099199 + ... + 236141601.
It is an arithmetic number, because the mean of its divisors is an integer number (148493889136).
Almost surely, 210012213321200 is an apocalyptic number.
10012213321200 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 10012213321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17819266696320).
10012213321200 is an abundant number, since it is smaller than the sum of its proper divisors (25626320071440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10012213321200 is a wasteful number, since it uses less digits than its factorization.
10012213321200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 64293 (or 64276 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 10012213321200 its reverse (212331221001), we get a palindrome (10224544542201).
The spelling of 10012213321200 in words is "ten trillion, twelve billion, two hundred thirteen million, three hundred twenty-one thousand, two hundred".
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