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12020000 = 2554601
BaseRepresentation
bin101101110110…
…100100100000
3211121200100012
4231312210200
511034120000
61105344052
7204111506
oct55664440
924550305
1012020000
11686a893
124038028
13264b135
14184c676
1510c6735
hexb76920

12020000 has 60 divisors (see below), whose sum is σ = 29620206. Its totient is φ = 4800000.

The previous prime is 12019993. The next prime is 12020051. The reversal of 12020000 is 2021.

It can be written as a sum of positive squares in 5 ways, for example, as 1024144 + 10995856 = 1012^2 + 3316^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19700 + ... + 20300.

Almost surely, 212020000 is an apocalyptic number.

12020000 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 12020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810103).

12020000 is an abundant number, since it is smaller than the sum of its proper divisors (17600206).

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

12020000 is an frugal number, since it uses more digits than its factorization.

12020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 608 counting only the distinct ones).

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

The square root of 12020000 is about 3466.9871646719. The cubic root of 12020000 is about 229.0699683860.

Adding to 12020000 its reverse (2021), we get a palindrome (12022021).

The spelling of 12020000 in words is "twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 601 625 800 1000 1202 1250 2000 2404 2500 3005 4000 4808 5000 6010 9616 10000 12020 15025 19232 20000 24040 30050 48080 60100 75125 96160 120200 150250 240400 300500 375625 480800 601000 751250 1202000 1502500 2404000 3005000 6010000 12020000