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12210313332 = 22372142314593
BaseRepresentation
bin10110101111100101…
…01001100001110100
31011111221212012000010
423113302221201310
5200001320011312
65335341220220
7611403644100
oct132762514164
934457765003
1012210313332
1151a6449148
122449261670
1311c78c0199
1483b926900
154b6e6593c
hex2d7ca9874

12210313332 has 72 divisors (see below), whose sum is σ = 33167842176. Its totient is φ = 3485970432.

The previous prime is 12210313277. The next prime is 12210313333. The reversal of 12210313332 is 23331301221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12210313299 and 12210313308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210313333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829428 + ... + 844020.

Almost surely, 212210313332 is an apocalyptic number.

12210313332 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 12210313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16583921088).

12210313332 is an abundant number, since it is smaller than the sum of its proper divisors (20957528844).

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

12210313332 is a wasteful number, since it uses less digits than its factorization.

12210313332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16037 (or 16028 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12210313332 its reverse (23331301221), we get a palindrome (35541614553).

The spelling of 12210313332 in words is "twelve billion, two hundred ten million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1423 2846 4269 5692 8538 9961 14593 17076 19922 29186 29883 39844 43779 58372 59766 69727 87558 102151 119532 139454 175116 204302 209181 278908 306453 408604 418362 612906 715057 836724 1225812 1430114 2145171 2860228 4290342 8580684 20765839 41531678 62297517 83063356 124595034 145360873 249190068 290721746 436082619 581443492 872165238 1017526111 1744330476 2035052222 3052578333 4070104444 6105156666 12210313332