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112120014000 = 2435322078467
BaseRepresentation
bin110100001101011011…
…1111010010010110000
3101201101211120211212010
41220122313322102300
53314110210422000
6123301321002520
711046303252201
oct1503267722260
9351354524763
10112120014000
1143605908aa5
1219890923440
13a75a7a4667
1455d899d5a8
152db32b4d50
hex1a1adfa4b0

112120014000 has 160 divisors (see below), whose sum is σ = 361681422336. Its totient is φ = 29881593600.

The previous prime is 112120013989. The next prime is 112120014053. The reversal of 112120014000 is 410021211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13237767 + ... + 13246233.

Almost surely, 2112120014000 is an apocalyptic number.

112120014000 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 112120014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180840711168).

112120014000 is an abundant number, since it is smaller than the sum of its proper divisors (249561408336).

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

112120014000 is a wasteful number, since it uses less digits than its factorization.

112120014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112120014000 its reverse (410021211), we get a palindrome (112530035211).

The spelling of 112120014000 in words is "one hundred twelve billion, one hundred twenty million, fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 2207 3000 4414 6000 6621 8467 8828 11035 13242 16934 17656 22070 25401 26484 33105 33868 35312 42335 44140 50802 52968 55175 66210 67736 84670 88280 101604 105936 110350 127005 132420 135472 165525 169340 176560 203208 211675 220700 254010 264840 275875 331050 338680 406416 423350 441400 508020 529680 551750 635025 662100 677360 827625 846700 882800 1016040 1058375 1103500 1270050 1324200 1655250 1693400 2032080 2116750 2207000 2540100 2648400 3175125 3310500 3386800 4233500 4414000 5080200 6350250 6621000 8467000 10160400 12700500 13242000 16934000 18686669 25401000 37373338 50802000 56060007 74746676 93433345 112120014 149493352 186866690 224240028 280300035 298986704 373733380 448480056 467166725 560600070 747466760 896960112 934333450 1121200140 1401500175 1494933520 1868666900 2242400280 2335833625 2803000350 3737333800 4484800560 4671667250 5606000700 7007500875 7474667600 9343334500 11212001400 14015001750 18686669000 22424002800 28030003500 37373338000 56060007000 112120014000