Search a number
-
+
1200001002200 = 23527111383257281
BaseRepresentation
bin10001011101100101101…
…000100010101011011000
311020201102010121000201222
4101131211220202223120
5124130100224032300
62315134534031212
7152461100135630
oct21354550425330
94221363530658
101200001002200
11422a10311060
12174699aa8508
138920c878c20
144211a7096c0
1521334d37785
hex11765a22ad8

1200001002200 has 768 divisors, whose sum is σ = 3819445539840. Its totient is φ = 338558976000.

The previous prime is 1200001002119. The next prime is 1200001002209. The reversal of 1200001002200 is 22001000021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200001002209) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 4270466060 + ... + 4270466340.

It is an arithmetic number, because the mean of its divisors is an integer number (4973236380).

Almost surely, 21200001002200 is an apocalyptic number.

1200001002200 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 1200001002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909722769920).

1200001002200 is an abundant number, since it is smaller than the sum of its proper divisors (2619444537640).

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

1200001002200 is a wasteful number, since it uses less digits than its factorization.

1200001002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1200001002200 its reverse (22001000021), we get a palindrome (1222002002221).

The spelling of 1200001002200 in words is "one trillion, two hundred billion, one million, two thousand, two hundred".