Search a number
-
+
121020020022 = 231119769125497
BaseRepresentation
bin111000010110101011…
…0101111010100110110
3102120101002111222220210
41300231112233110312
53440322111120042
6131332411010250
711512663124466
oct1605526572466
9376332458823
10121020020022
1147362712280
121b555439986
13b548613b05
145c009c5ba6
1532347dda9c
hex1c2d5af536

121020020022 has 64 divisors (see below), whose sum is σ = 278304364800. Its totient is φ = 34697134080.

The previous prime is 121020019993. The next prime is 121020020027. The reversal of 121020020022 is 220020020121.

It is a super-2 number, since 2×1210200200222 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121020020027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901578 + ... + 1027074.

It is an arithmetic number, because the mean of its divisors is an integer number (4348505700).

Almost surely, 2121020020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121020020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139152182400).

121020020022 is an abundant number, since it is smaller than the sum of its proper divisors (157284344778).

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

121020020022 is a wasteful number, since it uses less digits than its factorization.

121020020022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126301.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 121020020022 its reverse (220020020121), we get a palindrome (341040040143).

Subtracting 121020020022 from its reverse (220020020121), we obtain a palindrome (99000000099).

The spelling of 121020020022 in words is "one hundred twenty-one billion, twenty million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 769 1254 1538 2307 4614 8459 14611 16918 25377 29222 43833 50754 87666 125497 160721 250994 321442 376491 482163 752982 964326 1380467 2384443 2760934 4141401 4768886 7153329 8282802 14306658 26228873 52457746 78686619 96507193 157373238 193014386 289521579 579043158 1061579123 1833636667 2123158246 3184737369 3667273334 5500910001 6369474738 11001820002 20170003337 40340006674 60510010011 121020020022