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12202112220200 = 2352715175776249
BaseRepresentation
bin1011000110010000011010…
…0100000111110000101000
31121012111210011212200200122
42301210012210013300220
53044404411212021300
641541323432222412
72366400500360630
oct261440644076050
947174704780618
1012202112220200
113984983270331
121450a2683aa08
136a68674b7ba6
1430282a40b6c0
15162611a22c85
hexb1906907c28

12202112220200 has 192 divisors, whose sum is σ = 32681018400000. Its totient is φ = 4150331136000.

The previous prime is 12202112220163. The next prime is 12202112220209. The reversal of 12202112220200 is 202221120221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12202112220209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159991676 + ... + 160067924.

It is an arithmetic number, because the mean of its divisors is an integer number (170213637500).

Almost surely, 212202112220200 is an apocalyptic number.

12202112220200 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 12202112220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16340509200000).

12202112220200 is an abundant number, since it is smaller than the sum of its proper divisors (20478906179800).

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

12202112220200 is a wasteful number, since it uses less digits than its factorization.

12202112220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77180 (or 77171 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12202112220200 its reverse (202221120221), we get a palindrome (12404333340421).

The spelling of 12202112220200 in words is "twelve trillion, two hundred two billion, one hundred twelve million, two hundred twenty thousand, two hundred".