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1200023200320 = 26357947918839
BaseRepresentation
bin10001011101100110111…
…101001110001001000000
311020201110200100210211120
4101131212331032021000
5124130121414402240
62315141045512240
7152461456621320
oct21354675161100
94221420323746
101200023200320
11422a218a290a
121746a5412680
138921434b9c9
144211d647280
1521336c6ead0
hex11766f4e240

1200023200320 has 224 divisors, whose sum is σ = 4355060428800. Its totient is φ = 274247522304.

The previous prime is 1200023200261. The next prime is 1200023200361. The reversal of 1200023200320 is 230023200021.

It is a tau number, because it is divible by the number of its divisors (224).

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 1200023200320.

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, 63689461 + ... + 63708299.

Almost surely, 21200023200320 is an apocalyptic number.

1200023200320 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 1200023200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177530214400).

1200023200320 is an abundant number, since it is smaller than the sum of its proper divisors (3155037228480).

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

1200023200320 is a wasteful number, since it uses less digits than its factorization.

1200023200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28345 (or 28335 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1200023200320 its reverse (230023200021), we get a palindrome (1430046400341).

The spelling of 1200023200320 in words is "one trillion, two hundred billion, twenty-three million, two hundred thousand, three hundred twenty".