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12212010 = 2325472887
BaseRepresentation
bin101110100101…
…011100101010
3211222102201200
4232211130222
511111241020
61113425030
7205541346
oct56453452
924872650
1012212010
116991078
12410b176
1326b7655
14189c626
151113590
hexba572a

12212010 has 48 divisors (see below), whose sum is σ = 32438016. Its totient is φ = 3186144.

The previous prime is 12211981. The next prime is 12212021. The reversal of 12212010 is 1021221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12211983 and 12212001.

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 23 ways as a sum of consecutive naturals, for example, 2787 + ... + 5673.

It is an arithmetic number, because the mean of its divisors is an integer number (675792).

Almost surely, 212212010 is an apocalyptic number.

12212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219008).

12212010 is an abundant number, since it is smaller than the sum of its proper divisors (20226006).

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

12212010 is a wasteful number, since it uses less digits than its factorization.

12212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12212010 is about 3494.5686429086. The cubic root of 12212010 is about 230.2832678714.

Adding to 12212010 its reverse (1021221), we get a palindrome (13233231).

The spelling of 12212010 in words is "twelve million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 2115 2887 4230 5774 8661 14435 17322 25983 28870 43305 51966 86610 129915 135689 259830 271378 407067 678445 814134 1221201 1356890 2035335 2442402 4070670 6106005 12212010