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122121101114 = 21071513779201
BaseRepresentation
bin111000110111011111…
…1000001111100111010
3102200012211101201012222
41301232333001330322
54000101000213424
6132033543004042
711552163142445
oct1615677017472
9380184351188
10122121101114
11478781a5851
121b802139622
13b69278289c
145ca6d2665c
15329b2d9e5e
hex1c6efc1f3a

122121101114 has 16 divisors (see below), whose sum is σ = 186118140096. Its totient is φ = 60089280000.

The previous prime is 122121101099. The next prime is 122121101119. The reversal of 122121101114 is 411101121221.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122121101092 and 122121101101.

It is not an unprimeable number, because it can be changed into a prime (122121101119) 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 7 ways as a sum of consecutive naturals, for example, 1857287 + ... + 1921914.

It is an arithmetic number, because the mean of its divisors is an integer number (11632383756).

Almost surely, 2122121101114 is an apocalyptic number.

122121101114 is a deficient number, since it is larger than the sum of its proper divisors (63997038982).

122121101114 is a wasteful number, since it uses less digits than its factorization.

122121101114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779461.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122121101114 its reverse (411101121221), we get a palindrome (533222222335).

The spelling of 122121101114 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred one thousand, one hundred fourteen".

Divisors: 1 2 107 151 214 302 16157 32314 3779201 7558402 404374507 570659351 808749014 1141318702 61060550557 122121101114