| Base | Representation |
|---|---|
| bin | 1110111100110… |
| … | …11010001000000 |
| 3 | 22201222211010000 |
| 4 | 13132123101000 |
| 5 | 224101312022 |
| 6 | 20240040000 |
| 7 | 3052010544 |
| oct | 736332100 |
| 9 | 281884100 |
| 10 | 125416512 |
| 11 | 64881311 |
| 12 | 36003000 |
| 13 | 1cca2470 |
| 14 | 12929a24 |
| 15 | b0256ac |
| hex | 779b440 |
125416512 has 140 divisors (see below), whose sum is σ = 400586956. Its totient is φ = 38568960.
The previous prime is 125416481. The next prime is 125416537. The reversal of 125416512 is 215614521.
125416512 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 1 + 651 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 5645376 + 119771136 = 2376^2 + 10944^2 .
It is a super-2 number, since 2×1254165122 = 31458602964492288, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 66462 + ... + 68322.
Almost surely, 2125416512 is an apocalyptic number.
125416512 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 125416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200293478).
125416512 is an abundant number, since it is smaller than the sum of its proper divisors (275170444).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
125416512 is a wasteful number, since it uses less digits than its factorization.
125416512 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1898 (or 1879 counting only the distinct ones).
The product of its digits is 2400, while the sum is 27.
The square root of 125416512 is about 11198.9513794819. The cubic root of 125416512 is about 500.5547336469.
It can be divided in two parts, 1254 and 16512, that added together give a triangular number (17766 = T188).
The spelling of 125416512 in words is "one hundred twenty-five million, four hundred sixteen thousand, five hundred twelve".
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