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1200110000200 = 2352103383315199
BaseRepresentation
bin10001011101101100001…
…000010101100001001000
311020201200201200200212221
4101131230020111201020
5124130311130001300
62315153430143424
7152463562455226
oct21355410254110
94221621620787
101200110000200
11422a66898951
1217470a4b1b74
1389229320197
144212ad9db16
152133e6b831a
hex1176c215848

1200110000200 has 96 divisors (see below), whose sum is σ = 2818266048000. Its totient is φ = 475228085760.

The previous prime is 1200110000191. The next prime is 1200110000209. The reversal of 1200110000200 is 20000110021.

It is an interprime number because it is at equal distance from previous prime (1200110000191) and next prime (1200110000209).

It is not an unprimeable number, because it can be changed into a prime (1200110000209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78952201 + ... + 78967399.

It is an arithmetic number, because the mean of its divisors is an integer number (29356938000).

Almost surely, 21200110000200 is an apocalyptic number.

1200110000200 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 1200110000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409133024000).

1200110000200 is an abundant number, since it is smaller than the sum of its proper divisors (1618156047800).

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

1200110000200 is a wasteful number, since it uses less digits than its factorization.

1200110000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19151 (or 19142 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1200110000200 its reverse (20000110021), we get a palindrome (1220110110221).

The spelling of 1200110000200 in words is "one trillion, two hundred billion, one hundred ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 824 1030 2060 2575 3833 4120 5150 7666 10300 15199 15332 19165 20600 30398 30664 38330 60796 75995 76660 95825 121592 151990 153320 191650 303980 379975 383300 394799 607960 759950 766600 789598 1519900 1565497 1579196 1973995 3039800 3130994 3158392 3947990 6261988 7827485 7895980 9869975 12523976 15654970 15791960 19739950 31309940 39137425 39479900 58257767 62619880 78274850 78959800 116515534 156549700 233031068 291288835 313099400 466062136 582577670 1165155340 1456444175 2330310680 2912888350 5825776700 6000550001 11651553400 12001100002 24002200004 30002750005 48004400008 60005500010 120011000020 150013750025 240022000040 300027500050 600055000100 1200110000200