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12202302112 = 2571121334631
BaseRepresentation
bin10110101110101000…
…00101101010100000
31011111101210011200021
423113110011222200
5144442242131422
65334453403224
7611245566550
oct132724055240
934441704607
1012202302112
1151a1977200
122446639514
1311c6046910
1483a83d160
154b63d1dc7
hex2d7505aa0

12202302112 has 144 divisors (see below), whose sum is σ = 32500331136. Its totient is φ = 4388313600.

The previous prime is 12202302097. The next prime is 12202302121. The reversal of 12202302112 is 21120320221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335037 + ... + 369667.

It is an arithmetic number, because the mean of its divisors is an integer number (225696744).

Almost surely, 212202302112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16250165568).

12202302112 is an abundant number, since it is smaller than the sum of its proper divisors (20298029024).

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

12202302112 is a wasteful number, since it uses less digits than its factorization.

12202302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34683 (or 34664 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12202302112 its reverse (21120320221), we get a palindrome (33322622333).

The spelling of 12202302112 in words is "twelve billion, two hundred two million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 121 143 154 176 182 208 224 242 286 308 352 364 416 484 572 616 728 847 968 1001 1144 1232 1456 1573 1694 1936 2002 2288 2464 2912 3146 3388 3872 4004 4576 6292 6776 8008 11011 12584 13552 16016 22022 25168 27104 32032 34631 44044 50336 69262 88088 138524 176176 242417 277048 352352 380941 450203 484834 554096 761882 900406 969668 1108192 1523764 1800812 1939336 2666587 3047528 3151421 3601624 3878672 4190351 4952233 5333174 6095056 6302842 7203248 7757344 8380702 9904466 10666348 12190112 12605684 14406496 16761404 19808932 21332696 25211368 29332457 33522808 34665631 39617864 42665392 50422736 54474563 58664914 67045616 69331262 79235728 85330784 100845472 108949126 117329828 134091232 138662524 158471456 217898252 234659656 277325048 381321941 435796504 469319312 554650096 762643882 871593008 938638624 1109300192 1525287764 1743186016 3050575528 6101151056 12202302112