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122120221113 = 32112353632069
BaseRepresentation
bin111000110111011101…
…1101011000110111001
3102200012202202000002100
41301232323223012321
54000100234033423
6132033512054013
711552152516032
oct1615673530671
9380182660070
10122120221113
1147877754680
121b801994309
13b692535187
145ca6b77a89
15329b1b4343
hex1c6eeeb1b9

122120221113 has 24 divisors (see below), whose sum is σ = 200798470080. Its totient is φ = 70794329760.

The previous prime is 122120221081. The next prime is 122120221177. The reversal of 122120221113 is 311122021221.

It is not a de Polignac number, because 122120221113 - 25 = 122120221081 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122120221313) 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 in 23 ways as a sum of consecutive naturals, for example, 26813758 + ... + 26818311.

It is an arithmetic number, because the mean of its divisors is an integer number (8366602920).

Almost surely, 2122120221113 is an apocalyptic number.

It is an amenable number.

122120221113 is a deficient number, since it is larger than the sum of its proper divisors (78678248967).

122120221113 is a wasteful number, since it uses less digits than its factorization.

122120221113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53632109 (or 53632106 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122120221113 its reverse (311122021221), we get a palindrome (433242242334).

The spelling of 122120221113 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 53632069 160896207 482688621 589952759 1233537587 1769858277 3700612761 5309574831 11101838283 13568913457 40706740371 122120221113