| Base | Representation |
|---|---|
| bin | 101101101110110001101111… |
| … | …100100000000111100100000 |
| 3 | 222101010111220120202111020000 |
| 4 | 231232301233210000330200 |
| 5 | 202330224234130432440 |
| 6 | 1551432141250420000 |
| 7 | 60235626435402000 |
| oct | 5556615744007440 |
| 9 | 871114816674200 |
| 10 | 201126600249120 |
| 11 | 590a33485321a7 |
| 12 | 1a683823591600 |
| 13 | 882c206c92920 |
| 14 | 3794817bd2000 |
| 15 | 183bb6ee60730 |
| hex | b6ec6f900f20 |
201126600249120 has 2880 divisors, whose sum is σ = 932595917299200. Its totient is φ = 40486134915072.
The previous prime is 201126600249077. The next prime is 201126600249149. The reversal of 201126600249120 is 21942006621102.
It is a happy number.
201126600249120 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 2 + 6 + 600 + 2 + 49 + 1 + 2 + 0 = 666.
It is a super-3 number, since 3×2011266002491203 (a number of 44 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
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 479 ways as a sum of consecutive naturals, for example, 517034961886 + ... + 517034962274.
It is an arithmetic number, because the mean of its divisors is an integer number (323818026840).
Almost surely, 2201126600249120 is an apocalyptic number.
201126600249120 is a gapful number since it is divisible by the number (20) 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 201126600249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466297958649600).
201126600249120 is an abundant number, since it is smaller than the sum of its proper divisors (731469317050080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201126600249120 is an equidigital number, since it uses as much as digits as its factorization.
201126600249120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 862 (or 442 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The spelling of 201126600249120 in words is "two hundred one trillion, one hundred twenty-six billion, six hundred million, two hundred forty-nine thousand, one hundred twenty".
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