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122001122221 = 11291912002349
BaseRepresentation
bin111000110011111010…
…1010110001110101101
3102122220110122011010021
41301213311112032231
53444324241402341
6132014015242141
711546205266656
oct1614765261655
9378813564107
10122001122221
11478164a8940
121b789b19351
13b673965464
145c9501452d
1532909da9d1
hex1c67d563ad

122001122221 has 16 divisors (see below), whose sum is σ = 138402432000. Its totient is φ = 106524913600.

The previous prime is 122001122219. The next prime is 122001122239. The reversal of 122001122221 is 122221100221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122001122221 - 21 = 122001122219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122001122195 and 122001122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001122261) 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, 940246 + ... + 1062103.

It is an arithmetic number, because the mean of its divisors is an integer number (8650152000).

Almost surely, 2122001122221 is an apocalyptic number.

122001122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122001122221 is a deficient number, since it is larger than the sum of its proper divisors (16401309779).

122001122221 is a wasteful number, since it uses less digits than its factorization.

122001122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002580.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122001122221 its reverse (122221100221), we get a palindrome (244222222442).

The spelling of 122001122221 in words is "one hundred twenty-two billion, one million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 11 29 191 319 2101 5539 60929 2002349 22025839 58068121 382448659 638749331 4206935249 11091011111 122001122221