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1200313212 = 223724149789
BaseRepresentation
bin100011110001011…
…0101001101111100
310002122121020011220
41013202311031330
54424240010322
6315034513340
741513331300
oct10742651574
93078536156
101200313212
1156660009a
12295b95850
131618a3c07
14b55b1d00
157059d55c
hex478b537c

1200313212 has 72 divisors (see below), whose sum is σ = 3337523280. Its totient is φ = 334575360.

The previous prime is 1200313193. The next prime is 1200313321. The reversal of 1200313212 is 2123130021.

It is a junction number, because it is equal to n+sod(n) for n = 1200313191 and 1200313200.

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 23 ways as a sum of consecutive naturals, for example, 787 + ... + 49002.

It is an arithmetic number, because the mean of its divisors is an integer number (46354490).

Almost surely, 21200313212 is an apocalyptic number.

1200313212 is a gapful number since it is divisible by the number (12) 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 1200313212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668761640).

1200313212 is an abundant number, since it is smaller than the sum of its proper divisors (2137210068).

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

1200313212 is a wasteful number, since it uses less digits than its factorization.

1200313212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49851 (or 49842 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1200313212 is about 34645.5366822337. The cubic root of 1200313212 is about 1062.7510159776.

Adding to 1200313212 its reverse (2123130021), we get a palindrome (3323443233).

The spelling of 1200313212 in words is "one billion, two hundred million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 492 574 588 861 1148 1722 2009 3444 4018 6027 8036 12054 24108 49789 99578 149367 199156 298734 348523 597468 697046 1045569 1394092 2041349 2091138 2439661 4082698 4182276 4879322 6124047 7318983 8165396 9758644 12248094 14289443 14637966 24496188 28578886 29275932 42868329 57157772 85736658 100026101 171473316 200052202 300078303 400104404 600156606 1200313212