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12000010012101 = 33687164684153
BaseRepresentation
bin1010111010011111100001…
…0101011000010111000101
31120111012010022220202211000
42232213320111120113011
53033102010030341401
641304421204403513
72345654302062216
oct256477025302705
946435108822730
1012000010012101
1139071a28a3071
1214198230a6599
136907997b6ac7
142d6b3706740d
1515c233c4c186
hexae9f85585c5

12000010012101 has 16 divisors (see below), whose sum is σ = 17780380251520. Its totient is φ = 7998842236320.

The previous prime is 12000010012049. The next prime is 12000010012121. The reversal of 12000010012101 is 10121001000021.

It is a happy number.

It is not a de Polignac number, because 12000010012101 - 27 = 12000010011973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000010012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32156560 + ... + 32527593.

It is an arithmetic number, because the mean of its divisors is an integer number (1111273765720).

Almost surely, 212000010012101 is an apocalyptic number.

It is an amenable number.

12000010012101 is a deficient number, since it is larger than the sum of its proper divisors (5780370239419).

12000010012101 is an equidigital number, since it uses as much as digits as its factorization.

12000010012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64691033 (or 64691027 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000010012101 its reverse (10121001000021), we get a palindrome (22121011012122).

The spelling of 12000010012101 in words is "twelve trillion, ten million, twelve thousand, one hundred one".

Divisors: 1 3 9 27 6871 20613 61839 185517 64684153 194052459 582157377 1746472131 444444815263 1333334445789 4000003337367 12000010012101