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12250904880 = 243531253117
BaseRepresentation
bin10110110100011010…
…11111100100110000
31011121210020110010210
423122031133210300
5200042212424010
65343351224120
7612405654564
oct133215374460
934553213123
1012250904880
115217353185
12245a978040
131203133056
148430916a4
154ba7d2b20
hex2da35f930

12250904880 has 120 divisors (see below), whose sum is σ = 39243153456. Its totient is φ = 3161464320.

The previous prime is 12250904857. The next prime is 12250904881. The reversal of 12250904880 is 8840905221.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (12250904881) 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, 204082 + ... + 257198.

Almost surely, 212250904880 is an apocalyptic number.

12250904880 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 12250904880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19621576728).

12250904880 is an abundant number, since it is smaller than the sum of its proper divisors (26992248576).

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

12250904880 is a wasteful number, since it uses less digits than its factorization.

12250904880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53195 (or 53158 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 12250904880 in words is "twelve billion, two hundred fifty million, nine hundred four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 961 1240 1488 1860 1922 2480 2883 3720 3844 4805 5766 7440 7688 9610 11532 14415 15376 19220 23064 28830 38440 46128 53117 57660 76880 106234 115320 159351 212468 230640 265585 318702 424936 531170 637404 796755 849872 1062340 1274808 1593510 1646627 2124680 2549616 3187020 3293254 4249360 4939881 6374040 6586508 8233135 9879762 12748080 13173016 16466270 19759524 24699405 26346032 32932540 39519048 49398810 51045437 65865080 79038096 98797620 102090874 131730160 153136311 197595240 204181748 255227185 306272622 395190480 408363496 510454370 612545244 765681555 816726992 1020908740 1225090488 1531363110 2041817480 2450180976 3062726220 4083634960 6125452440 12250904880