| Base | Representation |
|---|---|
| bin | 111010110010111000… |
| … | …0010010000000100000 |
| 3 | 110001220100201212220200 |
| 4 | 1311211300102000200 |
| 5 | 4032040332111242 |
| 6 | 134000435505200 |
| 7 | 12056604360300 |
| oct | 1654560220040 |
| 9 | 401810655820 |
| 10 | 126261207072 |
| 11 | 49602183720 |
| 12 | 20578758200 |
| 13 | bba241a920 |
| 14 | 617ab0b600 |
| 15 | 343e9d804c |
| hex | 1d65c12020 |
126261207072 has 1728 divisors, whose sum is σ = 536443689600. Its totient is φ = 27590492160.
The previous prime is 126261207071. The next prime is 126261207097. The reversal of 126261207072 is 270702162621.
It is a happy number.
126261207072 is a `hidden beast` number, since 1 + 2 + 626 + 1 + 20 + 7 + 0 + 7 + 2 = 666.
It is a super-2 number, since 2×1262612070722 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (126261207071) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1418665204 + ... + 1418665292.
It is an arithmetic number, because the mean of its divisors is an integer number (310441950).
Almost surely, 2126261207072 is an apocalyptic number.
126261207072 is a gapful number since it is divisible by the number (12) 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 126261207072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268221844800).
126261207072 is an abundant number, since it is smaller than the sum of its proper divisors (410182482528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126261207072 is a wasteful number, since it uses less digits than its factorization.
126261207072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 199 (or 181 counting only the distinct ones).
The product of its (nonzero) digits is 28224, while the sum is 36.
Adding to 126261207072 its reverse (270702162621), we get a palindrome (396963369693).
It can be divided in two parts, 126261 and 207072, that added together give a palindrome (333333).
The spelling of 126261207072 in words is "one hundred twenty-six billion, two hundred sixty-one million, two hundred seven thousand, seventy-two".
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