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1200023113200 = 243525970124179
BaseRepresentation
bin10001011101100110111…
…100111000110111110000
311020201110200012101022220
4101131212330320313300
5124130121404110300
62315141044001040
7152461456106322
oct21354674706760
94221420171286
101200023113200
11422a2184340a
121746a5390180
138921431b162
144211d623612
1521336c53da0
hex11766f38df0

1200023113200 has 240 divisors, whose sum is σ = 3914966390400. Its totient is φ = 314120576000.

The previous prime is 1200023113169. The next prime is 1200023113231. The reversal of 1200023113200 is 23113200021.

It is an interprime number because it is at equal distance from previous prime (1200023113169) and next prime (1200023113231).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1200023113200.

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 47 ways as a sum of consecutive naturals, for example, 49618711 + ... + 49642889.

It is an arithmetic number, because the mean of its divisors is an integer number (16312359960).

Almost surely, 21200023113200 is an apocalyptic number.

1200023113200 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 1200023113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957483195200).

1200023113200 is an abundant number, since it is smaller than the sum of its proper divisors (2714943277200).

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

1200023113200 is a wasteful number, since it uses less digits than its factorization.

1200023113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24960 (or 24949 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1200023113200 its reverse (23113200021), we get a palindrome (1223136313221).

The spelling of 1200023113200 in words is "one trillion, two hundred billion, twenty-three million, one hundred thirteen thousand, two hundred".