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121224200 = 2352606121
BaseRepresentation
bin1110011100110…
…11110000001000
322110002211100012
413032123300020
5222013133300
620010131052
73001250216
oct716336010
9273084305
10121224200
1162478599
1234720a88
131c1651c6
1412157cb6
15a998435
hex739bc08

121224200 has 24 divisors (see below), whose sum is σ = 281846730. Its totient is φ = 48489600.

The previous prime is 121224133. The next prime is 121224217. The reversal of 121224200 is 2422121.

It can be written as a sum of positive squares in 3 ways, for example, as 66552964 + 54671236 = 8158^2 + 7394^2 .

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 5 ways as a sum of consecutive naturals, for example, 302861 + ... + 303260.

Almost surely, 2121224200 is an apocalyptic number.

121224200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121224200 is an abundant number, since it is smaller than the sum of its proper divisors (160622530).

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

121224200 is a wasteful number, since it uses less digits than its factorization.

121224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606137 (or 606128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 121224200 is about 11010.1861927944. The cubic root of 121224200 is about 494.9140414627.

Adding to 121224200 its reverse (2422121), we get a palindrome (123646321).

The spelling of 121224200 in words is "one hundred twenty-one million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 606121 1212242 2424484 3030605 4848968 6061210 12122420 15153025 24244840 30306050 60612100 121224200