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1211222120221 = 17235741297321
BaseRepresentation
bin10001101000000010011…
…101101101011100011101
311021210101011002212212201
4101220002131231130131
5124321040330321341
62324232221331501
7153336133102501
oct21500235553435
94253334085781
101211222120221
11427749346113
121768aba06b91
138a2aa542b29
14428a2ad8301
1521790003331
hex11a0276d71d

1211222120221 has 16 divisors (see below), whose sum is σ = 1283500617840. Its totient is φ = 1139058524160.

The previous prime is 1211222120209. The next prime is 1211222120243. The reversal of 1211222120221 is 1220212221121.

It can be written as a sum of positive squares in 8 ways, for example, as 168752532025 + 1042469588196 = 410795^2 + 1021014^2 .

It is a cyclic number.

It is not a de Polignac number, because 1211222120221 - 27 = 1211222120093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211222190221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165441241 + ... + 165448561.

It is an arithmetic number, because the mean of its divisors is an integer number (80218788615).

Almost surely, 21211222120221 is an apocalyptic number.

It is an amenable number.

1211222120221 is a deficient number, since it is larger than the sum of its proper divisors (72278497619).

1211222120221 is a wasteful number, since it uses less digits than its factorization.

1211222120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13824.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 1211222120221 its reverse (1220212221121), we get a palindrome (2431434341342).

The spelling of 1211222120221 in words is "one trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 17 2357 4129 7321 40069 70193 124457 9732053 17255597 30228409 165444901 293345149 513882953 71248360013 1211222120221