Search a number
-
+
1200112320000 = 2935411113647
BaseRepresentation
bin10001011101101100010…
…001001011111000000000
311020201200220001120001110
4101131230101023320000
5124130312223220000
62315153552003320
7152463621256416
oct21355421137000
94221626046043
101200112320000
11422a68132840
1217470b230540
1389229953049
144212b4052b6
152133e9c5850
hex1176c44be00

1200112320000 has 400 divisors, whose sum is σ = 4358426257152. Its totient is φ = 290933760000.

The previous prime is 1200112319981. The next prime is 1200112320013. The reversal of 1200112320000 is 232110021.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10503177 + ... + 10616823.

Almost surely, 21200112320000 is an apocalyptic number.

1200112320000 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 1200112320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179213128576).

1200112320000 is an abundant number, since it is smaller than the sum of its proper divisors (3158313937152).

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

1200112320000 is an equidigital number, since it uses as much as digits as its factorization.

1200112320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113699 (or 113668 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1200112320000 its reverse (232110021), we get a palindrome (1200344430021).

The spelling of 1200112320000 in words is "one trillion, two hundred billion, one hundred twelve million, three hundred twenty thousand".