Search a number
-
+
1200200012121 = 311172279424643
BaseRepresentation
bin10001011101110001011…
…111101101000101011001
311020201221000001210000210
4101131301133231011121
5124131002200341441
62315210403321333
7152466034530525
oct21356137550531
94221830053023
101200200012121
11423002688170
12174734680249
1389241b77686
1442138d10d85
1521347548616
hex117717ed159

1200200012121 has 32 divisors (see below), whose sum is σ = 1856579470848. Its totient is φ = 681590109440.

The previous prime is 1200200012119. The next prime is 1200200012149. The reversal of 1200200012121 is 1212100020021.

It is a cyclic number.

It is not a de Polignac number, because 1200200012121 - 21 = 1200200012119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1200200012097 and 1200200012106.

It is not an unprimeable number, because it can be changed into a prime (1200200012321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4584975 + ... + 4839668.

It is an arithmetic number, because the mean of its divisors is an integer number (58018108464).

Almost surely, 21200200012121 is an apocalyptic number.

1200200012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1200200012121 is a deficient number, since it is larger than the sum of its proper divisors (656379458727).

1200200012121 is a wasteful number, since it uses less digits than its factorization.

1200200012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9424901.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1200200012121 its reverse (1212100020021), we get a palindrome (2412300032142).

The spelling of 1200200012121 in words is "one trillion, two hundred billion, two hundred million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 11 17 33 51 187 227 561 681 2497 3859 7491 11577 42449 127347 9424643 28273929 103671073 160218931 311013219 480656793 1762408241 2139393961 5287224723 6418181883 23533333571 36369697337 70600000713 109109092011 400066670707 1200200012121