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12200100020200 = 235261000500101
BaseRepresentation
bin1011000110001000111010…
…1000001011111111101000
31121012022120221120100012201
42301202032220023333220
53044341301101121300
641540352031545544
72366266565064421
oct261421650137750
947168527510181
1012200100020200
113984040450724
12145056498b2b4
136a660665b7c1
143026b9098648
1516254505066a
hexb188ea0bfe8

12200100020200 has 24 divisors (see below), whose sum is σ = 28365232547430. Its totient is φ = 4880040008000.

The previous prime is 12200100020063. The next prime is 12200100020281. The reversal of 12200100020200 is 202000100221.

12200100020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8886396772036 + 3313703248164 = 2981006^2 + 1820358^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30500249851 + ... + 30500250250.

Almost surely, 212200100020200 is an apocalyptic number.

12200100020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200100020200 is an abundant number, since it is smaller than the sum of its proper divisors (16165132527230).

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

12200100020200 is a wasteful number, since it uses less digits than its factorization.

12200100020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61000500117 (or 61000500108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12200100020200 its reverse (202000100221), we get a palindrome (12402100120421).

The spelling of 12200100020200 in words is "twelve trillion, two hundred billion, one hundred million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 61000500101 122001000202 244002000404 305002500505 488004000808 610005001010 1220010002020 1525012502525 2440020004040 3050025005050 6100050010100 12200100020200