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12202848320 = 265139730241
BaseRepresentation
bin10110101110101100…
…01011000001000000
31011111102210220221012
423113112023001000
5144442412121240
65334513220052
7611253333155
oct132726130100
934442726835
1012202848320
1151a220a613
122446861628
1311c61a8410
1483a94222c
154b648db65
hex2d758b040

12202848320 has 112 divisors (see below), whose sum is σ = 31616922288. Its totient is φ = 4459069440.

The previous prime is 12202848311. The next prime is 12202848347. The reversal of 12202848320 is 2384820221.

It can be written as a sum of positive squares in 8 ways, for example, as 2641137664 + 9561710656 = 51392^2 + 97784^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388400 + ... + 418640.

It is an arithmetic number, because the mean of its divisors is an integer number (282293949).

Almost surely, 212202848320 is an apocalyptic number.

12202848320 is a gapful number since it is divisible by the number (10) 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 12202848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15808461144).

12202848320 is an abundant number, since it is smaller than the sum of its proper divisors (19414073968).

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

12202848320 is a wasteful number, since it uses less digits than its factorization.

12202848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30368 (or 30358 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 12202848320 in words is "twelve billion, two hundred two million, eight hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 97 104 130 160 194 208 260 320 388 416 485 520 776 832 970 1040 1261 1552 1940 2080 2522 3104 3880 4160 5044 6208 6305 7760 10088 12610 15520 20176 25220 30241 31040 40352 50440 60482 80704 100880 120964 151205 201760 241928 302410 393133 403520 483856 604820 786266 967712 1209640 1572532 1935424 1965665 2419280 2933377 3145064 3931330 4838560 5866754 6290128 7862660 9677120 11733508 12580256 14666885 15725320 23467016 25160512 29333770 31450640 38133901 46934032 58667540 62901280 76267802 93868064 117335080 125802560 152535604 187736128 190669505 234670160 305071208 381339010 469340320 610142416 762678020 938680640 1220284832 1525356040 2440569664 3050712080 6101424160 12202848320