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12001011100211 = 719743121444369
BaseRepresentation
bin1010111010100011010000…
…0000001110101000110011
31120111021201002122022112102
42232220310000032220303
53033111032320201321
641305104405251015
72346021146144360
oct256506400165063
946437632568472
1012001011100211
11390766699a411
121419a62403a6b
136908c9015333
142d6bcddb9467
1515c291a95c0b
hexaea3400ea33

12001011100211 has 16 divisors (see below), whose sum is σ = 14456737804800. Its totient is φ = 9732065874048.

The previous prime is 12001011100193. The next prime is 12001011100213. The reversal of 12001011100211 is 11200111010021.

It is not a de Polignac number, because 12001011100211 - 26 = 12001011100147 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001011100192 and 12001011100201.

It is not an unprimeable number, because it can be changed into a prime (12001011100213) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 60623366 + ... + 60821003.

It is an arithmetic number, because the mean of its divisors is an integer number (903546112800).

Almost surely, 212001011100211 is an apocalyptic number.

12001011100211 is a deficient number, since it is larger than the sum of its proper divisors (2455726704589).

12001011100211 is a wasteful number, since it uses less digits than its factorization.

12001011100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121445138.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12001011100211 its reverse (11200111010021), we get a palindrome (23201122110232).

The spelling of 12001011100211 in words is "twelve trillion, one billion, eleven million, one hundred thousand, two hundred eleven".

Divisors: 1 7 19 133 743 5201 14117 98819 121444369 850110583 2307443011 16152101077 90233166167 631632163169 1714430157173 12001011100211