| Base | Representation |
|---|---|
| bin | 101111010011… |
| … | …110101010000 |
| 3 | 212100002100100 |
| 4 | 233103311100 |
| 5 | 11133331000 |
| 6 | 1121452400 |
| 7 | 210262302 |
| oct | 57236520 |
| 9 | 25302310 |
| 10 | 12402000 |
| 11 | 7000896 |
| 12 | 41a1100 |
| 13 | 2752c80 |
| 14 | 190b972 |
| 15 | 114ea00 |
| hex | bd3d50 |
12402000 has 240 divisors, whose sum is σ = 47528208. Its totient is φ = 2995200.
The previous prime is 12401989. The next prime is 12402007. The reversal of 12402000 is 20421.
It can be written as a sum of positive squares in 8 ways, for example, as 4981824 + 7420176 = 2232^2 + 2724^2 .
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 (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12402007) 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 47 ways as a sum of consecutive naturals, for example, 233974 + ... + 234026.
Almost surely, 212402000 is an apocalyptic number.
12402000 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 12402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23764104).
12402000 is an abundant number, since it is smaller than the sum of its proper divisors (35126208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12402000 is a wasteful number, since it uses less digits than its factorization.
12402000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 95 (or 76 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 12402000 is about 3521.6473417990. The cubic root of 12402000 is about 231.4713488108.
Adding to 12402000 its reverse (20421), we get a palindrome (12422421).
It can be divided in two parts, 1240 and 2000, that added together give a triangular number (3240 = T80).
The spelling of 12402000 in words is "twelve million, four hundred two thousand".
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