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2200001121120 = 2535113711261267
BaseRepresentation
bin100000000000111010010…
…010010000101101100000
321210022120212020111100110
4200000322102100231200
5242021100241333440
64402355551051320
7314642035661445
oct40007222205540
97708525214313
102200001121120
11779019308330
122b645bb10b40
1312c5c7b8691a
14786a2b839cc
153c3615c4080
hex2003a490b60

2200001121120 has 192 divisors, whose sum is σ = 7764328970496. Its totient is φ = 518919137280.

The previous prime is 2200001121061. The next prime is 2200001121121. The reversal of 2200001121120 is 211211000022.

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

It is a junction number, because it is equal to n+sod(n) for n = 2200001121096 and 2200001121105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200001121121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5435274 + ... + 5825993.

It is an arithmetic number, because the mean of its divisors is an integer number (40439213388).

Almost surely, 22200001121120 is an apocalyptic number.

2200001121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200001121120 is an abundant number, since it is smaller than the sum of its proper divisors (5564327849376).

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

2200001121120 is a wasteful number, since it uses less digits than its factorization.

2200001121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11261333 (or 11261325 counting only the distinct ones).

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

Adding to 2200001121120 its reverse (211211000022), we get a palindrome (2411212121142).

The spelling of 2200001121120 in words is "two trillion, two hundred billion, one million, one hundred twenty-one thousand, one hundred twenty".