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12121010212211 = 8310712721614973
BaseRepresentation
bin1011000001100010010010…
…0000100000110101110011
31120220202110001010210220222
42300120210200200311303
53042042312103242321
641440152030523255
72360466634601015
oct260304440406563
946822401123828
1012121010212211
1139535452a834a
12143917196652b
1369c010c7b454
142dc9351701b5
151604669233ab
hexb0624820d73

12121010212211 has 32 divisors (see below), whose sum is σ = 12487470686208. Its totient is φ = 11761836387840.

The previous prime is 12121010212193. The next prime is 12121010212217. The reversal of 12121010212211 is 11221201012121.

It is a cyclic number.

It is not a de Polignac number, because 12121010212211 - 234 = 12103830343027 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12121010212211.

It is not an unprimeable number, because it can be changed into a prime (12121010212217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2437361321 + ... + 2437366293.

It is an arithmetic number, because the mean of its divisors is an integer number (390233458944).

Almost surely, 212121010212211 is an apocalyptic number.

12121010212211 is a deficient number, since it is larger than the sum of its proper divisors (366460473997).

12121010212211 is a wasteful number, since it uses less digits than its factorization.

12121010212211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7451.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12121010212211 its reverse (11221201012121), we get a palindrome (23342211224332).

The spelling of 12121010212211 in words is "twelve trillion, one hundred twenty-one billion, ten million, two hundred twelve thousand, two hundred eleven".

Divisors: 1 83 107 127 2161 4973 8881 10541 13589 179363 231227 274447 412759 532111 631571 1127887 10746653 19191841 22779101 29365829 44165213 52420393 67578097 891972199 1149891871 1364824931 2437363807 5608982051 95441025293 113280469273 146036267617 12121010212211