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112110001200 = 24325267464801
BaseRepresentation
bin110100001101001000…
…1101101110000110000
3101201101010202010212200
41220122101231300300
53314100130014300
6123300322223200
711046122200311
oct1503221556060
9351333663780
10112110001200
114360019a25a
12198894b4b00
13a7586aa022
1455d7514608
152db2488200
hex1a1a46dc30

112110001200 has 180 divisors, whose sum is σ = 394860454248. Its totient is φ = 29449728000.

The previous prime is 112110001177. The next prime is 112110001229. The reversal of 112110001200 is 2100011211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8800 + ... + 473600.

Almost surely, 2112110001200 is an apocalyptic number.

112110001200 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 112110001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197430227124).

112110001200 is an abundant number, since it is smaller than the sum of its proper divisors (282750453048).

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

112110001200 is a wasteful number, since it uses less digits than its factorization.

112110001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464892 (or 464878 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112110001200 its reverse (2100011211), we get a palindrome (114210012411).

The spelling of 112110001200 in words is "one hundred twelve billion, one hundred ten million, one thousand, two hundred".