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12006210500 = 225331376717
BaseRepresentation
bin10110010111010000…
…00011101111000100
31010222201210200112222
423023220003233010
5144042042214000
65303210431512
7603345051104
oct131350035704
933881720488
1012006210500
115101213719
1223b0a32598
13119452a58b
1481c797204
154a409aa85
hex2cba03bc4

12006210500 has 48 divisors (see below), whose sum is σ = 26305681584. Its totient is φ = 4787078400.

The previous prime is 12006210499. The next prime is 12006210521. The reversal of 12006210500 is 501260021.

It can be written as a sum of positive squares in 8 ways, for example, as 6252381184 + 5753829316 = 79072^2 + 75854^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118142 + ... + 194858.

It is an arithmetic number, because the mean of its divisors is an integer number (548035033).

Almost surely, 212006210500 is an apocalyptic number.

12006210500 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 12006210500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152840792).

12006210500 is an abundant number, since it is smaller than the sum of its proper divisors (14299471084).

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

12006210500 is a wasteful number, since it uses less digits than its factorization.

12006210500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77049 (or 77037 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 12006210500 its reverse (501260021), we get a palindrome (12507470521).

The spelling of 12006210500 in words is "twelve billion, six million, two hundred ten thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 313 500 626 1252 1565 3130 6260 7825 15650 31300 39125 76717 78250 153434 156500 306868 383585 767170 1534340 1917925 3835850 7671700 9589625 19179250 24012421 38358500 48024842 96049684 120062105 240124210 480248420 600310525 1200621050 2401242100 3001552625 6003105250 12006210500