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12211300320 = 253540962201
BaseRepresentation
bin10110101111101100…
…11010011111100000
31011112000201022220020
423113312122133200
5200002043102240
65335414313440
7611415224442
oct132766323740
934460638806
1012211300320
1151a6a6273a
122449658880
1311c7b774bb
1483bb02492
154b70ad0d0
hex2d7d9a7e0

12211300320 has 96 divisors (see below), whose sum is σ = 38560263840. Its totient is φ = 3248332800.

The previous prime is 12211300319. The next prime is 12211300337. The reversal of 12211300320 is 2300311221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12211300320.

It is a congruent number.

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, 165220 + ... + 227420.

It is an arithmetic number, because the mean of its divisors is an integer number (401669415).

Almost surely, 212211300320 is an apocalyptic number.

12211300320 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 12211300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19280131920).

12211300320 is an abundant number, since it is smaller than the sum of its proper divisors (26348963520).

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

12211300320 is a wasteful number, since it uses less digits than its factorization.

12211300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62628 (or 62620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12211300320 its reverse (2300311221), we get a palindrome (14511611541).

The spelling of 12211300320 in words is "twelve billion, two hundred eleven million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 409 480 818 1227 1636 2045 2454 3272 4090 4908 6135 6544 8180 9816 12270 13088 16360 19632 24540 32720 39264 49080 62201 65440 98160 124402 186603 196320 248804 311005 373206 497608 622010 746412 933015 995216 1244020 1492824 1866030 1990432 2488040 2985648 3732060 4976080 5971296 7464120 9952160 14928240 25440209 29856480 50880418 76320627 101760836 127201045 152641254 203521672 254402090 305282508 381603135 407043344 508804180 610565016 763206270 814086688 1017608360 1221130032 1526412540 2035216720 2442260064 3052825080 4070433440 6105650160 12211300320