Search a number
-
+
1200002002120 = 235109275229817
BaseRepresentation
bin10001011101100101101…
…100010110110011001000
311020201102012110211101001
4101131211230112303020
5124130101003031440
62315135011304344
7152461111502065
oct21354554266310
94221365424331
101200002002120
11422a10934339
1217469a2ab0b4
138920cb390ac
144211a8c9c6c
1521334e83b9a
hex11765b16cc8

1200002002120 has 32 divisors (see below), whose sum is σ = 2724775198200. Its totient is φ = 475597122048.

The previous prime is 1200002002061. The next prime is 1200002002141. The reversal of 1200002002120 is 212002000021.

It can be written as a sum of positive squares in 4 ways, for example, as 1116306354916 + 83695647204 = 1056554^2 + 289302^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1200002002097 and 1200002002106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137610549 + ... + 137619268.

Almost surely, 21200002002120 is an apocalyptic number.

1200002002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200002002120 is an abundant number, since it is smaller than the sum of its proper divisors (1524773196080).

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

1200002002120 is a wasteful number, since it uses less digits than its factorization.

1200002002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275229937 (or 275229933 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1200002002120 its reverse (212002000021), we get a palindrome (1412004002141).

The spelling of 1200002002120 in words is "one trillion, two hundred billion, two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 275229817 550459634 1100919268 1376149085 2201838536 2752298170 5504596340 11009192680 30000050053 60000100106 120000200212 150000250265 240000400424 300000500530 600001001060 1200002002120