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12200111300 = 2252139839547
BaseRepresentation
bin10110101110010111…
…01110110011000100
31011111020122212110002
423113023232303010
5144441212030200
65334334420432
7611221143416
oct132713566304
934436585402
1012200111300
1151a0710213
122445961718
1311c575a690
1483a42c9b6
154b60ecbd5
hex2d72eecc4

12200111300 has 72 divisors (see below), whose sum is σ = 28542714816. Its totient is φ = 4499602560.

The previous prime is 12200111293. The next prime is 12200111309. The reversal of 12200111300 is 311100221.

It is not an unprimeable number, because it can be changed into a prime (12200111309) 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 23 ways as a sum of consecutive naturals, for example, 1273127 + ... + 1282673.

Almost surely, 212200111300 is an apocalyptic number.

12200111300 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 12200111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14271357408).

12200111300 is an abundant number, since it is smaller than the sum of its proper divisors (16342603516).

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

12200111300 is a wasteful number, since it uses less digits than its factorization.

12200111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10557 (or 10550 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12200111300 its reverse (311100221), we get a palindrome (12511211521).

The spelling of 12200111300 in words is "twelve billion, two hundred million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 983 1300 1966 3932 4915 9547 9830 12779 19094 19660 24575 25558 38188 47735 49150 51116 63895 95470 98300 124111 127790 190940 238675 248222 255580 319475 477350 496444 620555 638950 954700 1241110 1277900 2482220 3102775 6205550 9384701 12411100 18769402 37538804 46923505 93847010 122001113 187694020 234617525 244002226 469235050 488004452 610005565 938470100 1220011130 2440022260 3050027825 6100055650 12200111300