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12042200 = 2352193169
BaseRepresentation
bin101101111011…
…111111011000
3211122210210102
4231323333120
511040322300
61110034532
7204233312
oct55737730
924583712
1012042200
116885535
124048a48
132658281
1418567b2
1510cd0d5
hexb7bfd8

12042200 has 48 divisors (see below), whose sum is σ = 29481000. Its totient is φ = 4561920.

The previous prime is 12042197. The next prime is 12042241. The reversal of 12042200 is 224021.

12042200 = 6822 + 6832 + ... + 7062.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2216 + ... + 5384.

Almost surely, 212042200 is an apocalyptic number.

12042200 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 12042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740500).

12042200 is an abundant number, since it is smaller than the sum of its proper divisors (17438800).

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

12042200 is a wasteful number, since it uses less digits than its factorization.

12042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 12042200 is about 3470.1873148290. The cubic root of 12042200 is about 229.2109064270.

Adding to 12042200 its reverse (224021), we get a palindrome (12266221).

The spelling of 12042200 in words is "twelve million, forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3169 3800 6338 12676 15845 25352 31690 60211 63380 79225 120422 126760 158450 240844 301055 316900 481688 602110 633800 1204220 1505275 2408440 3010550 6021100 12042200