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2112031321200 = 2432523721014243
BaseRepresentation
bin11110101110111110111…
…000000110110001110000
321110220112002112122011200
4132232332320012301300
5234100420004234300
64254130453011200
7305406051010533
oct36567670066160
97426462478150
102112031321200
11744786690649
122a13ab023b00
13124218853a88
1474319762a1a
1539e135c3200
hex1ebbee06c70

2112031321200 has 540 divisors, whose sum is σ = 7609154186088. Its totient is φ = 542433024000.

The previous prime is 2112031321171. The next prime is 2112031321217. The reversal of 2112031321200 is 21231302112.

2112031321200 is a `hidden beast` number, since 2 + 112 + 0 + 31 + 321 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 497766279 + ... + 497770521.

Almost surely, 22112031321200 is an apocalyptic number.

2112031321200 is a gapful number since it is divisible by the number (20) 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 2112031321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804577093044).

2112031321200 is an abundant number, since it is smaller than the sum of its proper divisors (5497122864888).

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

2112031321200 is a wasteful number, since it uses less digits than its factorization.

2112031321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2112031321200 its reverse (21231302112), we get a palindrome (2133262623312).

The spelling of 2112031321200 in words is "two trillion, one hundred twelve billion, thirty-one million, three hundred twenty-one thousand, two hundred".