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12120001002112 = 27109786314957
BaseRepresentation
bin1011000001011110100001…
…0110101011101010000000
31120220122211201010121221011
42300113220112223222000
53042033230224031422
641435503540010304
72360432631500353
oct260275026535200
946818751117834
1012120001002112
113953077663913
121438b2b990994
1369bbacb68103
142dc87b10629a
15160408023077
hexb05e85aba80

12120001002112 has 32 divisors (see below), whose sum is σ = 24167325090420. Its totient is φ = 6054476273664.

The previous prime is 12120001002049. The next prime is 12120001002127. The reversal of 12120001002112 is 21120010002121.

It can be written as a sum of positive squares in 2 ways, for example, as 12016095347776 + 103905654336 = 3466424^2 + 322344^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 12120001002092 and 12120001002101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43017063 + ... + 43297894.

Almost surely, 212120001002112 is an apocalyptic number.

It is an amenable number.

12120001002112 is a deficient number, since it is larger than the sum of its proper divisors (12047324088308).

12120001002112 is an equidigital number, since it uses as much as digits as its factorization.

12120001002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86316068 (or 86316056 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12120001002112 its reverse (21120010002121), we get a palindrome (33240011004233).

Subtracting 12120001002112 from its reverse (21120010002121), we obtain a palindrome (9000009000009).

The spelling of 12120001002112 in words is "twelve trillion, one hundred twenty billion, one million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 1097 2194 4388 8776 17552 35104 70208 140416 86314957 172629914 345259828 690519656 1381039312 2762078624 5524157248 11048314496 94687507829 189375015658 378750031316 757500062632 1515000125264 3030000250528 6060000501056 12120001002112