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12445214000 = 24536222607
BaseRepresentation
bin10111001011100101…
…01110010100110000
31012010022212101010212
423211302232110300
5200441433322000
65414532043252
7620255400512
oct134562562460
935108771125
1012445214000
115306aa952a
1224b3a63528
131234476c6b
14860bd1bb2
154cc8b5c35
hex2e5cae530

12445214000 has 40 divisors (see below), whose sum is σ = 30092532288. Its totient is φ = 4978084800.

The previous prime is 12445213951. The next prime is 12445214017. The reversal of 12445214000 is 41254421.

12445214000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3109304 + ... + 3113303.

Almost surely, 212445214000 is an apocalyptic number.

12445214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12445214000 is an abundant number, since it is smaller than the sum of its proper divisors (17647318288).

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

12445214000 is an equidigital number, since it uses as much as digits as its factorization.

12445214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222630 (or 6222614 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 12445214000 its reverse (41254421), we get a palindrome (12486468421).

The spelling of 12445214000 in words is "twelve billion, four hundred forty-five million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6222607 12445214 24890428 31113035 49780856 62226070 99561712 124452140 155565175 248904280 311130350 497808560 622260700 777825875 1244521400 1555651750 2489042800 3111303500 6222607000 12445214000