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112120121000 = 2353197278117
BaseRepresentation
bin110100001101011100…
…0010100011010101000
3101201101211210021122002
41220122320110122220
53314110222333000
6123301323150132
711046304206146
oct1503270243250
9351354707562
10112120121000
1143605981428
1219890975348
13a75a811284
1455d89ca596
152db32d68d5
hex1a1ae146a8

112120121000 has 128 divisors (see below), whose sum is σ = 276583507200. Its totient is φ = 42423955200.

The previous prime is 112120120979. The next prime is 112120121023. The reversal of 112120121000 is 121021211.

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, 13808942 + ... + 13817058.

It is an arithmetic number, because the mean of its divisors is an integer number (2160808650).

Almost surely, 2112120121000 is an apocalyptic number.

112120121000 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 112120121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138291753600).

112120121000 is an abundant number, since it is smaller than the sum of its proper divisors (164463386200).

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

112120121000 is a wasteful number, since it uses less digits than its factorization.

112120121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8884 (or 8870 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112120121000 its reverse (121021211), we get a palindrome (112241142211).

The spelling of 112120121000 in words is "one hundred twelve billion, one hundred twenty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 727 760 950 1000 1454 1900 2375 2908 3635 3800 4750 5816 7270 8117 9500 13813 14540 16234 18175 19000 27626 29080 32468 36350 40585 55252 64936 69065 72700 81170 90875 110504 138130 145400 154223 162340 181750 202925 276260 308446 324680 345325 363500 405850 552520 616892 690650 727000 771115 811700 1014625 1233784 1381300 1542230 1623400 1726625 2029250 2762600 3084460 3453250 3855575 4058500 5901059 6168920 6906500 7711150 8117000 11802118 13813000 15422300 19277875 23604236 29505295 30844600 38555750 47208472 59010590 77111500 112120121 118021180 147526475 154223000 224240242 236042360 295052950 448480484 560600605 590105900 737632375 896960968 1121201210 1180211800 1475264750 2242402420 2803003025 2950529500 4484804840 5606006050 5901059000 11212012100 14015015125 22424024200 28030030250 56060060500 112120121000