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12112002320 = 24511731671129
BaseRepresentation
bin10110100011110111…
…00111110100010000
31011021002212110122112
423101323213310100
5144301133033240
65321510124452
7606101215055
oct132173476420
934232773575
1012112002320
115155a00680
122420350728
1311b041b3a2
1482c85502c
154ad4e6665
hex2d1ee7d10

12112002320 has 160 divisors (see below), whose sum is σ = 31355493120. Its totient is φ = 4314193920.

The previous prime is 12112002313. The next prime is 12112002349. The reversal of 12112002320 is 2320021121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12112002295 and 12112002304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10727516 + ... + 10728644.

It is an arithmetic number, because the mean of its divisors is an integer number (195971832).

Almost surely, 212112002320 is an apocalyptic number.

12112002320 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 12112002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15677746560).

12112002320 is an abundant number, since it is smaller than the sum of its proper divisors (19243490800).

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

12112002320 is a wasteful number, since it uses less digits than its factorization.

12112002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12112002320 its reverse (2320021121), we get a palindrome (14432023441).

The spelling of 12112002320 in words is "twelve billion, one hundred twelve million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 146 167 176 220 292 334 365 440 584 668 730 803 835 880 1129 1168 1336 1460 1606 1670 1837 2258 2672 2920 3212 3340 3674 4015 4516 5645 5840 6424 6680 7348 8030 9032 9185 11290 12191 12419 12848 13360 14696 16060 18064 18370 22580 24382 24838 29392 32120 36740 45160 48764 49676 60955 62095 64240 73480 82417 90320 97528 99352 121910 124190 134101 146960 164834 188543 195056 198704 243820 248380 268202 329668 377086 412085 487640 496760 536404 659336 670505 754172 824170 906587 942715 975280 993520 1072808 1318672 1341010 1508344 1648340 1813174 1885430 2073973 2145616 2682020 3016688 3296680 3626348 3770860 4147946 4532935 5364040 6593360 7252696 7541720 8295892 9065870 10369865 10728080 13763639 14505392 15083440 16591784 18131740 20739730 27527278 33183568 36263480 41479460 55054556 68818195 72526960 82958920 110109112 137636390 151400029 165917840 220218224 275272780 302800058 550545560 605600116 757000145 1101091120 1211200232 1514000290 2422400464 3028000580 6056001160 12112002320