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122122323221221 = 73103137277427991
BaseRepresentation
bin11011110001000111010001…
…101100011101101011100101
3121000101210001200100100210101
4123301013101230131223211
5112001323004221034341
61111422115405024101
734503022005002311
oct3361072154355345
9530353050310711
10122122323221221
1135a03871810654
121184415ab55031
13531b116290bcb
142222a7561ab41
15e1ba36545831
hex6f11d1b1dae5

122122323221221 has 32 divisors (see below), whose sum is σ = 126364357237248. Its totient is φ = 117981599708160.

The previous prime is 122122323221149. The next prime is 122122323221231.

122122323221221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 122122323221221 - 211 = 122122323219173 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122122323221221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122323221231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285124536 + ... + 285552526.

It is an arithmetic number, because the mean of its divisors is an integer number (3948886163664).

Almost surely, 2122122323221221 is an apocalyptic number.

It is an amenable number.

122122323221221 is a deficient number, since it is larger than the sum of its proper divisors (4242034016027).

122122323221221 is a wasteful number, since it uses less digits than its factorization.

122122323221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428581.

The product of its digits is 4608, while the sum is 28.

The spelling of 122122323221221 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, three hundred twenty-three million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 73 103 137 277 7519 10001 14111 20221 28531 37949 427991 1030103 2082763 2770277 3908747 31243343 44083073 58634767 118553507 285338531 3218064329 4280337991 6039381001 8654406011 12211011221 16241830459 440874813073 891403819133 1185653623507 1672908537277 122122323221221