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122102001221 = 15724953629
BaseRepresentation
bin111000110110111011…
…0001010111001000101
3102200011111110100002112
41301231312022321011
54000031103014341
6132032021350405
711551541612564
oct1615566127105
9380144410075
10122102001221
114786843a812
121b7b7868405
13b68b826085
145ca4593bdb
1532997b5aeb
hex1c6dd8ae45

122102001221 has 6 divisors (see below), whose sum is σ = 122884699410. Its totient is φ = 121324256976.

The previous prime is 122102001209. The next prime is 122102001233. The reversal of 122102001221 is 122100201221.

It is an interprime number because it is at equal distance from previous prime (122102001209) and next prime (122102001233).

It can be written as a sum of positive squares in 3 ways, for example, as 1007745025 + 121094256196 = 31745^2 + 347986^2 .

It is a de Polignac number, because none of the positive numbers 2k-122102001221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122102001196 and 122102001205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102001251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2452166 + ... + 2501463.

It is an arithmetic number, because the mean of its divisors is an integer number (20480783235).

Almost surely, 2122102001221 is an apocalyptic number.

It is an amenable number.

122102001221 is a deficient number, since it is larger than the sum of its proper divisors (782698189).

122102001221 is an frugal number, since it uses more digits than its factorization.

122102001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4953943 (or 4953786 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122102001221 its reverse (122100201221), we get a palindrome (244202202442).

The spelling of 122102001221 in words is "one hundred twenty-two billion, one hundred two million, one thousand, two hundred twenty-one".

Divisors: 1 157 24649 4953629 777719753 122102001221