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122102120022 = 23593895471621
BaseRepresentation
bin111000110110111011…
…0100111111001010110
3102200011111200101001120
41301231312213321112
54000031120320042
6132032024104410
711551542616131
oct1615566477126
9380144611046
10122102120022
1147868510aa3
121b7b7905106
13b68b86817c
145ca45c5218
1532997dadec
hex1c6dda7e56

122102120022 has 64 divisors (see below), whose sum is σ = 249590764800. Its totient is φ = 39810476160.

The previous prime is 122102120017. The next prime is 122102120029. The reversal of 122102120022 is 220021201221.

It is a junction number, because it is equal to n+sod(n) for n = 122102119983 and 122102120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102120029) 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 31 ways as a sum of consecutive naturals, for example, 75324372 + ... + 75325992.

It is an arithmetic number, because the mean of its divisors is an integer number (3899855700).

Almost surely, 2122102120022 is an apocalyptic number.

122102120022 is an abundant number, since it is smaller than the sum of its proper divisors (127488644778).

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

122102120022 is a wasteful number, since it uses less digits than its factorization.

122102120022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122102120022 its reverse (220021201221), we get a palindrome (342123321243).

The spelling of 122102120022 in words is "one hundred twenty-two billion, one hundred two million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 59 118 177 354 389 547 778 1094 1167 1621 1641 2334 3242 3282 4863 9726 22951 32273 45902 64546 68853 95639 96819 137706 191278 193638 212783 286917 425566 573834 630569 638349 886687 1261138 1276698 1773374 1891707 2660061 3783414 5320122 12554197 25108394 37203571 37662591 52314533 74407142 75325182 104629066 111610713 156943599 223221426 313887198 344921243 689842486 1034763729 2069527458 20350353337 40700706674 61051060011 122102120022