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2112001200 = 243252586667
BaseRepresentation
bin111110111100010…
…1001010010110000
312110012002202222200
41331320221102300
513311133014300
6545323303200
7103223466621
oct17570512260
95405082880
102112001200
11994195841
124ab37ab00
1327873056a
141606d1a48
15c5638200
hex7de294b0

2112001200 has 90 divisors (see below), whose sum is σ = 7329243324. Its totient is φ = 563199360.

The previous prime is 2112001193. The next prime is 2112001207. The reversal of 2112001200 is 21002112.

2112001200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2112001193) and next prime (2112001207).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2112001207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 289734 + ... + 296933.

Almost surely, 22112001200 is an apocalyptic number.

2112001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112001200 is an abundant number, since it is smaller than the sum of its proper divisors (5217242124).

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

2112001200 is a wasteful number, since it uses less digits than its factorization.

2112001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586691 (or 586677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2112001200 is about 45956.5142281266. The cubic root of 2112001200 is about 1283.0139749933.

Adding to 2112001200 its reverse (21002112), we get a palindrome (2133003312).

The spelling of 2112001200 in words is "two billion, one hundred twelve million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 586667 1173334 1760001 2346668 2933335 3520002 4693336 5280003 5866670 7040004 8800005 9386672 10560006 11733340 14080008 14666675 17600010 21120012 23466680 26400015 28160016 29333350 35200020 42240024 44000025 46933360 52800030 58666700 70400040 84480048 88000050 105600060 117333400 132000075 140800080 176000100 211200120 234666800 264000150 352000200 422400240 528000300 704000400 1056000600 2112001200