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11211200002200 = 23352119857172331
BaseRepresentation
bin1010001100100100111110…
…0101111111100010011000
31110200210001210201102111010
42203021033211333202120
52432141014200032300
635502204300333520
72234660662450062
oct243111745774230
943623053642433
1011211200002200
113632709142580
1213109802442a0
13634299c25b63
142aa8a6d0a732
15146968027a50
hexa324f97f898

11211200002200 has 192 divisors, whose sum is σ = 37918306465920. Its totient is φ = 2717575168000.

The previous prime is 11211200002199. The next prime is 11211200002201. The reversal of 11211200002200 is 220000211211.

It is an interprime number because it is at equal distance from previous prime (11211200002199) and next prime (11211200002201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211200002201) by changing a digit.

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, 64970035 + ... + 65142365.

It is an arithmetic number, because the mean of its divisors is an integer number (197491179510).

Almost surely, 211211200002200 is an apocalyptic number.

11211200002200 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 11211200002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18959153232960).

11211200002200 is an abundant number, since it is smaller than the sum of its proper divisors (26707106463720).

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

11211200002200 is a wasteful number, since it uses less digits than its factorization.

11211200002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182218 (or 182209 counting only the distinct ones).

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

Adding to 11211200002200 its reverse (220000211211), we get a palindrome (11431200213411).

The spelling of 11211200002200 in words is "eleven trillion, two hundred eleven billion, two hundred million, two thousand, two hundred".