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12010222220202 = 23219375945735201
BaseRepresentation
bin1010111011000101100100…
…0001110111001110101010
31120112011111000222200201200
42232301121001313032222
53033233413342021302
641313230411425030
72346465334315533
oct256613101671652
946464430880650
1012010222220202
113910563379178
12141b7b3155176
136917364441ab
142d742546968a
1515c63057681c
hexaec590773aa

12010222220202 has 192 divisors, whose sum is σ = 28672282454400. Its totient is φ = 3619609804800.

The previous prime is 12010222220159. The next prime is 12010222220203. The reversal of 12010222220202 is 20202222201021.

12010222220202 is a `hidden beast` number, since 1 + 20 + 1 + 0 + 222 + 220 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12010222220203) 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 95 ways as a sum of consecutive naturals, for example, 341172202 + ... + 341207402.

It is an arithmetic number, because the mean of its divisors is an integer number (149334804450).

Almost surely, 212010222220202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010222220202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336141227200).

12010222220202 is an abundant number, since it is smaller than the sum of its proper divisors (16662060234198).

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

12010222220202 is a wasteful number, since it uses less digits than its factorization.

12010222220202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35781 (or 35778 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12010222220202 its reverse (20202222201021), we get a palindrome (32212444421223).

The spelling of 12010222220202 in words is "twelve trillion, ten billion, two hundred twenty-two million, two hundred twenty thousand, two hundred two".