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1205200212 = 223298634013
BaseRepresentation
bin100011111010101…
…1110010101010100
310002222210111212220
41013311132111110
54432012401322
6315331342340
741603014146
oct10765362524
93088714786
101205200212
11569338837
122977519b0
131628c5428
14b60c4c96
1570c1655c
hex47d5e554

1205200212 has 48 divisors (see below), whose sum is σ = 2913200640. Its totient is φ = 387334528.

The previous prime is 1205200211. The next prime is 1205200319. The reversal of 1205200212 is 2120025021.

It is a junction number, because it is equal to n+sod(n) for n = 1205200191 and 1205200200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205200211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 298318 + ... + 302330.

It is an arithmetic number, because the mean of its divisors is an integer number (60691680).

Almost surely, 21205200212 is an apocalyptic number.

1205200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1205200212 is an abundant number, since it is smaller than the sum of its proper divisors (1708000428).

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

1205200212 is a wasteful number, since it uses less digits than its factorization.

1205200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1205200212 is about 34715.9936052535. The cubic root of 1205200212 is about 1064.1913710182.

Adding to 1205200212 its reverse (2120025021), we get a palindrome (3325225233).

The spelling of 1205200212 in words is "one billion, two hundred five million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 863 1726 2589 3452 4013 5178 8026 10356 12039 16052 24078 25027 48156 50054 75081 100108 116377 150162 232754 300324 349131 465508 698262 1396524 3463219 6926438 10389657 13852876 20779314 41558628 100433351 200866702 301300053 401733404 602600106 1205200212