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2201020211200 = 2135210879887
BaseRepresentation
bin100000000001110111000…
…001110010000000000000
321210102012212211122010111
4200001313001302000000
5242030142133224300
64403045033441104
7315006222051526
oct40016701620000
97712185748114
102201020211200
117794a158a838
122b66a5270194
1312c72b048cc5
147875c260316
153c3c0cc69ba
hex20077072000

2201020211200 has 168 divisors, whose sum is σ = 5463770867712. Its totient is φ = 879509176320.

The previous prime is 2201020211179. The next prime is 2201020211233. The reversal of 2201020211200 is 21120201022.

It is a happy number.

It is a super-2 number, since 2×22010202112002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222612657 + ... + 222622543.

Almost surely, 22201020211200 is an apocalyptic number.

2201020211200 is a gapful number since it is divisible by the number (20) 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 2201020211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731885433856).

2201020211200 is an abundant number, since it is smaller than the sum of its proper divisors (3262750656512).

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

2201020211200 is an equidigital number, since it uses as much as digits as its factorization.

2201020211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11010 (or 10981 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2201020211200 its reverse (21120201022), we get a palindrome (2222140412222).

The spelling of 2201020211200 in words is "two trillion, two hundred one billion, twenty million, two hundred eleven thousand, two hundred".