| Base | Representation |
|---|---|
| bin | 100101011101110… |
| … | …0010000100000000 |
| 3 | 10020121111022110000 |
| 4 | 1022323202010000 |
| 5 | 10033310320000 |
| 6 | 324424240000 |
| 7 | 43103225613 |
| oct | 11273420400 |
| 9 | 3217438400 |
| 10 | 1257120000 |
| 11 | 59567a954 |
| 12 | 2b1010000 |
| 13 | 1705a35b6 |
| 14 | bcd5c17a |
| 15 | 75570000 |
| hex | 4aee2100 |
1257120000 has 450 divisors, whose sum is σ = 4732421078. Its totient is φ = 331776000.
The previous prime is 1257119989. The next prime is 1257120001. The reversal of 1257120000 is 217521.
It can be written as a sum of positive squares in 5 ways, for example, as 524226816 + 732893184 = 22896^2 + 27072^2 .
It is a tau number, because it is divible by the number of its divisors (450).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (1257120001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12959952 + ... + 12960048.
Almost surely, 21257120000 is an apocalyptic number.
1257120000 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 1257120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366210539).
1257120000 is an abundant number, since it is smaller than the sum of its proper divisors (3475301078).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1257120000 is an frugal number, since it uses more digits than its factorization.
1257120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 145 (or 107 counting only the distinct ones).
The product of its (nonzero) digits is 140, while the sum is 18.
The square root of 1257120000 is about 35455.8880864660. Note that the first 3 decimals coincide. The cubic root of 1257120000 is about 1079.2587506251.
Adding to 1257120000 its reverse (217521), we get a palindrome (1257337521).
The spelling of 1257120000 in words is "one billion, two hundred fifty-seven million, one hundred twenty thousand".
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