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122022122202006 = 231312011302569677
BaseRepresentation
bin11011101111101001111101…
…001111111010001110010110
3121000001012102111110012000120
4123233221331033322032112
5111443202301240431011
61111304104501252410
734462543640253045
oct3357517517721626
9530035374405016
10122022122202006
1135975322966874
1211828855a04106
135311837c2b2b0
14221bc8b9d055c
15e1911e84ea06
hex6efa7d3fa396

122022122202006 has 32 divisors (see below), whose sum is σ = 263035710496608. Its totient is φ = 37514006668800.

The previous prime is 122022122201983. The next prime is 122022122202007. The reversal of 122022122202006 is 600202221220221.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022122202007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651191161 + ... + 651378516.

It is an arithmetic number, because the mean of its divisors is an integer number (8219865953019).

Almost surely, 2122022122202006 is an apocalyptic number.

122022122202006 is an abundant number, since it is smaller than the sum of its proper divisors (141013588294602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122022122202006 is a wasteful number, since it uses less digits than its factorization.

122022122202006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302570896.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 122022122202006 its reverse (600202221220221), we get a palindrome (722224343422227).

The spelling of 122022122202006 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred twenty-two million, two hundred two thousand, six".

Divisors: 1 2 3 6 13 26 39 78 1201 2402 3603 7206 15613 31226 46839 93678 1302569677 2605139354 3907709031 7815418062 16933405801 33866811602 50800217403 101600434806 1564386182077 3128772364154 4693158546231 9386317092462 20337020367001 40674040734002 61011061101003 122022122202006