Search a number
-
+
12203014400 = 285229371777
BaseRepresentation
bin10110101110101101…
…10011100100000000
31011111110010100202022
423113112303210000
5144442432430100
65334520541012
7611254624313
oct132726634400
934443110668
1012203014400
1151a2313375
122446921768
1311c6235ba5
1483a98697a
154b64c2e85
hex2d75b3900

12203014400 has 216 divisors, whose sum is σ = 32108439720. Its totient is φ = 4582932480.

The previous prime is 12203014393. The next prime is 12203014433. The reversal of 12203014400 is 441030221.

It can be written as a sum of positive squares in 12 ways, for example, as 1007681536 + 11195332864 = 31744^2 + 105808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6866312 + ... + 6868088.

Almost surely, 212203014400 is an apocalyptic number.

12203014400 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 12203014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16054219860).

12203014400 is an abundant number, since it is smaller than the sum of its proper divisors (19905425320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12203014400 is a wasteful number, since it uses less digits than its factorization.

12203014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12203014400 its reverse (441030221), we get a palindrome (12644044621).

The spelling of 12203014400 in words is "twelve billion, two hundred three million, fourteen thousand, four hundred".