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1200200011220 = 2257217611180997
BaseRepresentation
bin10001011101110001011…
…111101100110111010100
311020201221000001201210102
4101131301133230313110
5124131002200324340
62315210403313232
7152466034525100
oct21356137546724
94221830051712
101200200011220
11423002687521
1217473467b818
1389241b77142
1442138d10900
1521347548215
hex117717ecdd4

1200200011220 has 144 divisors (see below), whose sum is σ = 3155277080592. Its totient is φ = 380942069760.

The previous prime is 1200200011211. The next prime is 1200200011229. The reversal of 1200200011220 is 221100020021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1200200011211) and next prime (1200200011229).

It can be written as a sum of positive squares in 8 ways, for example, as 76638170896 + 1123561840324 = 276836^2 + 1059982^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200200011229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425762 + ... + 1606758.

It is an arithmetic number, because the mean of its divisors is an integer number (21911646393).

Almost surely, 21200200011220 is an apocalyptic number.

1200200011220 is a gapful number since it is divisible by the number (10) 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 1200200011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577638540296).

1200200011220 is an abundant number, since it is smaller than the sum of its proper divisors (1955077069372).

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

1200200011220 is a wasteful number, since it uses less digits than its factorization.

1200200011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181098 (or 1181089 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1200200011220 its reverse (221100020021), we get a palindrome (1421300031241).

The spelling of 1200200011220 in words is "one trillion, two hundred billion, two hundred million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 61 68 70 85 98 119 122 140 170 196 238 244 245 305 340 427 476 490 595 610 833 854 980 1037 1190 1220 1666 1708 2074 2135 2380 2989 3332 4148 4165 4270 5185 5978 7259 8330 8540 10370 11956 14518 14945 16660 20740 29036 29890 36295 50813 59780 72590 101626 145180 203252 254065 508130 1016260 1180997 2361994 4723988 5904985 8266979 11809970 16533958 20076949 23619940 33067916 40153898 41334895 57868853 72040817 80307796 82669790 100384745 115737706 140538643 144081634 165339580 200769490 231475412 281077286 288163268 289344265 360204085 401538980 504285719 562154572 578688530 702693215 720408170 983770501 1008571438 1157377060 1224693889 1405386430 1440816340 1967541002 2017142876 2449387778 2521428595 2810772860 3530000033 3935082004 4898775556 4918852505 5042857190 6123469445 7060000066 8572857223 9837705010 10085714380 12246938890 14120000132 17145714446 17650000165 19675410020 24493877780 34291428892 35300000330 42864286115 60010000561 70600000660 85728572230 120020001122 171457144460 240040002244 300050002805 600100005610 1200200011220