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11221212000999 = 3731113372061041
BaseRepresentation
bin1010001101001010010001…
…0110101111001011100111
31110201201220120001122212110
42203102210112233023213
52432322020233012444
635510541552252103
72235464044155000
oct243224426571347
943651816048773
1011221212000999
113636986702450
1213128b5241033
136352042548c0
142ab1768b41a7
15146d51ea5cb9
hexa34a45af2e7

11221212000999 has 128 divisors (see below), whose sum is σ = 21052307404800. Its totient is φ = 5235371366400.

The previous prime is 11221212000989. The next prime is 11221212001007. The reversal of 11221212000999 is 99900021212211.

It is a happy number.

It is not a de Polignac number, because 11221212000999 - 29 = 11221212000487 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221212000989) 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 127 ways as a sum of consecutive naturals, for example, 4413919 + ... + 6474959.

It is an arithmetic number, because the mean of its divisors is an integer number (164471151600).

Almost surely, 211221212000999 is an apocalyptic number.

11221212000999 is a deficient number, since it is larger than the sum of its proper divisors (9831095403801).

11221212000999 is a wasteful number, since it uses less digits than its factorization.

11221212000999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061126 (or 2061112 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

It can be divided in two parts, 1122 and 1212000999, that added together give a palindrome (1212002121).

The spelling of 11221212000999 in words is "eleven trillion, two hundred twenty-one billion, two hundred twelve million, nine hundred ninety-nine", and thus it is an aban number.

Divisors: 1 3 7 11 13 21 33 37 39 49 77 91 111 143 147 231 259 273 343 407 429 481 539 637 777 1001 1029 1221 1443 1617 1813 1911 2849 3003 3367 3773 4459 5291 5439 7007 8547 10101 11319 12691 13377 15873 19943 21021 23569 37037 38073 49049 59829 70707 111111 139601 147147 164983 259259 418803 494949 777777 1814813 2061041 5444439 6183123 14427287 22671451 26793533 43281861 68014353 76258517 80380599 100991009 158700157 187554731 228775551 294728863 302973027 476100471 533809619 562664193 706937063 838843687 884186589 991360721 1110901099 1312883117 1601428857 2063102041 2120811189 2516531061 2974082163 3332703297 3736667333 3938649351 5871905809 6189306123 6939525047 7776307693 9190181819 10904967931 11210001999 14441714287 17615717427 20818575141 23328923079 26156671331 27570545457 32714903793 41103340663 43325142861 48576675329 76334775517 78470013993 101092000009 123310021989 145730025987 229004326551 287723384641 303276000027 340036727303 534343428619 863170153923 1020110181909 1603030285857 3740404000333 11221212000999