Search a number
-
+
12020000000 = 2857601
BaseRepresentation
bin10110011000111001…
…01010010100000000
31011000200202021012012
423030130222110000
5144104110000000
65304422152052
7603603212531
oct131434522400
934020667165
1012020000000
115108a819a8
1223b5582628
131197347c48
14820546688
154a53c1735
hex2cc72a500

12020000000 has 144 divisors (see below), whose sum is σ = 30041134032. Its totient is φ = 4800000000.

The previous prime is 12019999933. The next prime is 12020000017. The reversal of 12020000000 is 2021.

It can be written as a sum of positive squares in 8 ways, for example, as 10906042624 + 1113957376 = 104432^2 + 33376^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

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, 19999700 + ... + 20000300.

Almost surely, 212020000000 is an apocalyptic number.

12020000000 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 12020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020567016).

12020000000 is an abundant number, since it is smaller than the sum of its proper divisors (18021134032).

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

12020000000 is an frugal number, since it uses more digits than its factorization.

12020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 12020000000 its reverse (2021), we get a palindrome (12020002021).

The spelling of 12020000000 in words is "twelve billion, twenty million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 601 625 640 800 1000 1202 1250 1280 1600 2000 2404 2500 3005 3125 3200 4000 4808 5000 6010 6250 6400 8000 9616 10000 12020 12500 15025 15625 16000 19232 20000 24040 25000 30050 31250 32000 38464 40000 48080 50000 60100 62500 75125 76928 78125 80000 96160 100000 120200 125000 150250 153856 156250 160000 192320 200000 240400 250000 300500 312500 375625 384640 400000 480800 500000 601000 625000 751250 769280 800000 961600 1000000 1202000 1250000 1502500 1878125 1923200 2000000 2404000 2500000 3005000 3756250 3846400 4000000 4808000 5000000 6010000 7512500 9390625 9616000 10000000 12020000 15025000 18781250 19232000 20000000 24040000 30050000 37562500 46953125 48080000 60100000 75125000 93906250 96160000 120200000 150250000 187812500 240400000 300500000 375625000 480800000 601000000 751250000 1202000000 1502500000 2404000000 3005000000 6010000000 12020000000