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12120225920 = 2751110391657
BaseRepresentation
bin10110100100110101…
…11111100010000000
31011021200100021022022
423102122333202000
5144310234212140
65322402301012
7606231135425
oct132232774200
934250307268
1012120225920
11515a608140
122423057768
1311b203a51a
1482d995d4c
154ae0bd0b5
hex2d26bf880

12120225920 has 128 divisors (see below), whose sum is σ = 31658515200. Its totient is φ = 4400455680.

The previous prime is 12120225911. The next prime is 12120225941. The reversal of 12120225920 is 2952202121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 12120225920.

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, 7313732 + ... + 7315388.

It is an arithmetic number, because the mean of its divisors is an integer number (247332150).

Almost surely, 212120225920 is an apocalyptic number.

12120225920 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 12120225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829257600).

12120225920 is an abundant number, since it is smaller than the sum of its proper divisors (19538289280).

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

12120225920 is a wasteful number, since it uses less digits than its factorization.

12120225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 12120225920 in words is "twelve billion, one hundred twenty million, two hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1039 1408 1657 1760 2078 3314 3520 4156 5195 6628 7040 8285 8312 10390 11429 13256 16570 16624 18227 20780 22858 26512 33140 33248 36454 41560 45716 53024 57145 66280 66496 72908 83120 91135 91432 106048 114290 132560 132992 145816 166240 182270 182864 212096 228580 265120 291632 332480 364540 365728 457160 530240 583264 664960 729080 731456 914320 1060480 1166528 1458160 1462912 1721623 1828640 2333056 2916320 3443246 3657280 5832640 6886492 7314560 8608115 11665280 13772984 17216230 18937853 27545968 34432460 37875706 55091936 68864920 75751412 94689265 110183872 137729840 151502824 189378530 220367744 275459680 303005648 378757060 550919360 606011296 757514120 1101838720 1212022592 1515028240 2424045184 3030056480 6060112960 12120225920