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12030202000 = 245312747363
BaseRepresentation
bin10110011010000111…
…00101000010010000
31011001101221120201001
423031003211002100
5144114212431000
65305424551344
7604056013135
oct131503450220
934041846631
1012030202000
11511380a903
1223b8a82554
1311994aa72b
14821a4058c
154a623946a
hex2cd0e5090

12030202000 has 80 divisors (see below), whose sum is σ = 29318694912. Its totient is φ = 4774089600.

The previous prime is 12030201959. The next prime is 12030202007. The reversal of 12030202000 is 20203021.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (12030202007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230319 + ... + 277681.

Almost surely, 212030202000 is an apocalyptic number.

12030202000 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 12030202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14659347456).

12030202000 is an abundant number, since it is smaller than the sum of its proper divisors (17288492912).

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

12030202000 is a wasteful number, since it uses less digits than its factorization.

12030202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47513 (or 47497 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 12030202000 its reverse (20203021), we get a palindrome (12050405021).

The spelling of 12030202000 in words is "twelve billion, thirty million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 127 200 250 254 400 500 508 635 1000 1016 1270 2000 2032 2540 3175 5080 6350 10160 12700 15875 25400 31750 47363 50800 63500 94726 127000 189452 236815 254000 378904 473630 757808 947260 1184075 1894520 2368150 3789040 4736300 5920375 6015101 9472600 11840750 12030202 18945200 23681500 24060404 30075505 47363000 48120808 60151010 94726000 96241616 120302020 150377525 240604040 300755050 481208080 601510100 751887625 1203020200 1503775250 2406040400 3007550500 6015101000 12030202000