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12120000011211 = 3414310122688599
BaseRepresentation
bin1011000001011110100001…
…0010111001101111001011
31120220122211122021021200010
42300113220102321233023
53042033230000324321
641435503502443003
72360432620202421
oct260275022715713
946818748237603
1012120000011211
113953077047394
121438b2b593463
1369bbac8ac091
142dc87ad29111
15160407dc9676
hexb05e84b9bcb

12120000011211 has 32 divisors (see below), whose sum is σ = 17106841382400. Its totient is φ = 7623368928000.

The previous prime is 12120000011183. The next prime is 12120000011237. The reversal of 12120000011211 is 11211000002121.

It is not a de Polignac number, because 12120000011211 - 225 = 12119966456779 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12120000011011) 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 31 ways as a sum of consecutive naturals, for example, 10810111 + ... + 11878488.

It is an arithmetic number, because the mean of its divisors is an integer number (534588793200).

Almost surely, 212120000011211 is an apocalyptic number.

12120000011211 is a deficient number, since it is larger than the sum of its proper divisors (4986841371189).

12120000011211 is a wasteful number, since it uses less digits than its factorization.

12120000011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22688787.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12120000011211 its reverse (11211000002121), we get a palindrome (23331000013332).

The spelling of 12120000011211 in words is "twelve trillion, one hundred twenty billion, eleven thousand, two hundred eleven".

Divisors: 1 3 41 43 101 123 129 303 1763 4141 4343 5289 12423 13029 178063 534189 22688599 68065797 930232559 975609757 2291548499 2790697677 2926829271 6874645497 40000000037 93953488459 98536585457 120000000111 281860465377 295609756371 4040000003737 12120000011211