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12112120000 = 26541915937
BaseRepresentation
bin10110100011111000…
…00100100011000000
31011021010002110002001
423101330010203000
5144301200320000
65321512433344
7606102215131
oct132174044300
934233073061
1012112120000
115155a81032
1224203a8854
1311b045cb16
1482c885c88
154ad51b46a
hex2d1f048c0

12112120000 has 140 divisors (see below), whose sum is σ = 31616848120. Its totient is φ = 4589568000.

The previous prime is 12112119991. The next prime is 12112120063. The reversal of 12112120000 is 2121121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 752032 + ... + 767968.

Almost surely, 212112120000 is an apocalyptic number.

12112120000 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 12112120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15808424060).

12112120000 is an abundant number, since it is smaller than the sum of its proper divisors (19504728120).

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

12112120000 is an equidigital number, since it uses as much as digits as its factorization.

12112120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15988 (or 15963 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12112120000 its reverse (2121121), we get a palindrome (12114241121).

The spelling of 12112120000 in words is "twelve billion, one hundred twelve million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 625 760 800 950 1000 1216 1250 1520 1600 1900 2000 2375 2500 3040 3800 4000 4750 5000 6080 7600 8000 9500 10000 11875 15200 15937 19000 20000 23750 30400 31874 38000 40000 47500 63748 76000 79685 95000 127496 152000 159370 190000 254992 302803 318740 380000 398425 509984 605606 637480 760000 796850 1019968 1211212 1274960 1514015 1593700 1992125 2422424 2549920 3028030 3187400 3984250 4844848 5099840 6056060 6374800 7570075 7968500 9689696 9960625 12112120 12749600 15140150 15937000 19379392 19921250 24224240 25499200 30280300 31874000 37850375 39842500 48448480 60560600 63748000 75700750 79685000 96896960 121121200 127496000 151401500 159370000 189251875 242242400 302803000 318740000 378503750 484484800 605606000 637480000 757007500 1211212000 1514015000 2422424000 3028030000 6056060000 12112120000