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1200230020320 = 253529534014057
BaseRepresentation
bin10001011101110011010…
…010001011010011100000
311020202000002112100112120
4101131303102023103200
5124131032341122240
62315213354424240
7152466550562142
oct21356322132340
94222002470476
101200230020320
11423018613831
12174742732080
13892481532c6
144213ccc2c92
1521349ec4ad0
hex1177348b4e0

1200230020320 has 384 divisors, whose sum is σ = 3995810663040. Its totient is φ = 302363443200.

The previous prime is 1200230020277. The next prime is 1200230020337. The reversal of 1200230020320 is 230200320021.

It is a super-2 number, since 2×12002300203202 (a number of 25 digits) contains 22 as substring.

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 1200230020320.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 295839732 + ... + 295843788.

It is an arithmetic number, because the mean of its divisors is an integer number (10405756935).

Almost surely, 21200230020320 is an apocalyptic number.

1200230020320 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 1200230020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997905331520).

1200230020320 is an abundant number, since it is smaller than the sum of its proper divisors (2795580642720).

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

1200230020320 is a wasteful number, since it uses less digits than its factorization.

1200230020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4550 counting only the distinct ones).

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

Adding to 1200230020320 its reverse (230200320021), we get a palindrome (1430430340341).

The spelling of 1200230020320 in words is "one trillion, two hundred billion, two hundred thirty million, twenty thousand, three hundred twenty".