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12000210019 = 717192319011
BaseRepresentation
bin10110010110100010…
…01010110001100011
31010222022111211102221
423023101022301203
5144034023210034
65302434051511
7603243050020
oct131321126143
933868454387
1012000210019
1150a8895446
1223aaa19b97
1311932092b5
1481ba74547
154a37b2bb4
hex2cb44ac63

12000210019 has 48 divisors (see below), whose sum is σ = 15821899776. Its totient is φ = 8874489600.

The previous prime is 12000209989. The next prime is 12000210031. The reversal of 12000210019 is 91001200021.

It is not a de Polignac number, because 12000210019 - 217 = 12000078947 is a prime.

It is a super-2 number, since 2×120002100192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12000209984 and 12000210011.

It is not an unprimeable number, because it can be changed into a prime (12000210319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1327224 + ... + 1336234.

It is an arithmetic number, because the mean of its divisors is an integer number (329622912).

Almost surely, 212000210019 is an apocalyptic number.

12000210019 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12000210019 is a deficient number, since it is larger than the sum of its proper divisors (3821689757).

12000210019 is a wasteful number, since it uses less digits than its factorization.

12000210019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9104 (or 9085 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 12000210019 in words is "twelve billion, two hundred ten thousand, nineteen".

Divisors: 1 7 17 19 31 119 133 217 323 361 527 589 2261 2527 3689 4123 6137 9011 10013 11191 42959 63077 70091 78337 153187 171209 190247 279341 1072309 1198463 1331729 1955387 2910553 3252971 4748797 5307479 20373871 22770797 33241579 37152353 55300507 90227143 100842101 387103549 631590001 705894707 1714315717 12000210019