Search a number
-
+
12202013221000 = 235312202013221
BaseRepresentation
bin1011000110010000000010…
…1010011110000010001000
31121012111112021121000022121
42301210000222132002020
53044404210341033000
641541305534301024
72366365156034341
oct261440052360210
947174467530277
1012202013221000
1139849323a2809
1214509b9657774
136a684cb34a95
1430281b1db0c8
15162607eb9b1a
hexb1900a9e088

12202013221000 has 32 divisors (see below), whose sum is σ = 28552710939480. Its totient is φ = 4880805288000.

The previous prime is 12202013220967. The next prime is 12202013221009. The reversal of 12202013221000 is 12231020221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1511035894564 + 10690977326436 = 1229242^2 + 3269706^2 .

It is not an unprimeable number, because it can be changed into a prime (12202013221009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6101005611 + ... + 6101007610.

Almost surely, 212202013221000 is an apocalyptic number.

12202013221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202013221000 is an abundant number, since it is smaller than the sum of its proper divisors (16350697718480).

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

12202013221000 is a wasteful number, since it uses less digits than its factorization.

12202013221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12202013242 (or 12202013228 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12202013221000 its reverse (12231020221), we get a palindrome (12214244241221).

The spelling of 12202013221000 in words is "twelve trillion, two hundred two billion, thirteen million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12202013221 24404026442 48808052884 61010066105 97616105768 122020132210 244040264420 305050330525 488080528840 610100661050 1220201322100 1525251652625 2440402644200 3050503305250 6101006610500 12202013221000