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1221121200029 is a prime number
BaseRepresentation
bin10001110001010000011…
…111101100111110011101
311022201221000222020112012
4101301100133230332131
5130001324011400104
62332550401121005
7154136343640463
oct21612037547635
94281830866465
101221121200029
114309690a0305
121787b3029165
138b1c73569c3
14431616aa833
1521b6e0c8d6e
hex11c507ecf9d

1221121200029 has 2 divisors, whose sum is σ = 1221121200030. Its totient is φ = 1221121200028.

The previous prime is 1221121199939. The next prime is 1221121200041. The reversal of 1221121200029 is 9200021211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 773256422500 + 447864777529 = 879350^2 + 669227^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1221121200029 is a prime.

It is a super-2 number, since 2×12211212000292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221121199977 and 1221121200013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221121230029) 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 as a sum of consecutive naturals, namely, 610560600014 + 610560600015.

It is an arithmetic number, because the mean of its divisors is an integer number (610560600015).

Almost surely, 21221121200029 is an apocalyptic number.

It is an amenable number.

1221121200029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221121200029 is an equidigital number, since it uses as much as digits as its factorization.

1221121200029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 1221121200029 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred thousand, twenty-nine".