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1211000220012 = 2231137412147503
BaseRepresentation
bin10001100111110101001…
…111001110100101101100
311021202210200120012000110
4101213311033032211230
5124320112024020022
62324154213300020
7153330500013222
oct21476517164554
94252720505013
101211000220012
11427645065210
12176849634610
138a27358b52b
1442881454b12
152177a7c000c
hex119f53ce96c

1211000220012 has 144 divisors (see below), whose sum is σ = 3244979437056. Its totient is φ = 348340723200.

The previous prime is 1211000219987. The next prime is 1211000220077. The reversal of 1211000220012 is 2100220001121.

It is a super-2 number, since 2×12110002200122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1211000220012.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8136253 + ... + 8283755.

It is an arithmetic number, because the mean of its divisors is an integer number (22534579424).

Almost surely, 21211000220012 is an apocalyptic number.

1211000220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211000220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622489718528).

1211000220012 is an abundant number, since it is smaller than the sum of its proper divisors (2033979217044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1211000220012 is a wasteful number, since it uses less digits than its factorization.

1211000220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147640 (or 147597 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1211000220012 its reverse (2100220001121), we get a palindrome (3311220221133).

The spelling of 1211000220012 in words is "one trillion, two hundred eleven billion, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 41 44 66 74 82 111 123 132 148 164 222 246 407 444 451 492 814 902 1221 1353 1517 1628 1681 1804 2442 2706 3034 3362 4551 4884 5043 5412 6068 6724 9102 10086 16687 18204 18491 20172 33374 36982 50061 55473 62197 66748 73964 100122 110946 124394 147503 186591 200244 221892 248788 295006 373182 442509 590012 684167 746364 885018 1368334 1622533 1770036 2052501 2736668 3245066 4105002 4867599 5457611 6047623 6490132 8210004 9735198 10915222 12095246 16372833 18142869 19470396 21830444 24190492 32745666 36285738 60033721 65491332 66523853 72571476 120067442 133047706 180101163 199571559 223762051 240134884 247952543 266095412 360202326 399143118 447524102 495905086 671286153 720404652 743857629 798286236 895048204 991810172 1342572306 1487715258 2461382561 2685144612 2727477973 2975430516 4922765122 5454955946 7384147683 8182433919 9174244091 9845530244 10909911892 14768295366 16364867838 18348488182 27522732273 29536590732 32729735676 36696976364 55045464546 100916685001 110090929092 201833370002 302750055003 403666740004 605500110006 1211000220012