Search a number
-
+
12424221200 = 245231060553
BaseRepresentation
bin10111001001000101…
…01001001000010000
31012001212100211102202
423210202221020100
5200421100034300
65412502102332
7616612065146
oct134442511020
935055324382
1012424221200
1152a6170306
1224a8a1a9a8
1312300069a1
1485c0c9596
154cab1aad5
hex2e48a9210

12424221200 has 30 divisors (see below), whose sum is σ = 29849192394. Its totient is φ = 4969688320.

The previous prime is 12424221193. The next prime is 12424221241. The reversal of 12424221200 is 212242421.

It can be written as a sum of positive squares in 3 ways, for example, as 342694144 + 12081527056 = 18512^2 + 109916^2 .

It is a super-2 number, since 2×124242212002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15529877 + ... + 15530676.

Almost surely, 212424221200 is an apocalyptic number.

12424221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12424221200 is an abundant number, since it is smaller than the sum of its proper divisors (17424971194).

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

12424221200 is a wasteful number, since it uses less digits than its factorization.

12424221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31060571 (or 31060560 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12424221200 its reverse (212242421), we get a palindrome (12636463621).

The spelling of 12424221200 in words is "twelve billion, four hundred twenty-four million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 31060553 62121106 124242212 155302765 248484424 310605530 496968848 621211060 776513825 1242422120 1553027650 2484844240 3106055300 6212110600 12424221200