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122222021020 = 225111015779533
BaseRepresentation
bin111000111010100000…
…0000000100110011100
3102200110212021222022021
41301311000000212130
54000302314133040
6132051550025524
711554530015541
oct1616500004634
9380425258267
10122222021020
114791a165430
121b82baa82a4
13b6aa658cc8
145cb64b6bc8
1532a50c224a
hex1c7500099c

122222021020 has 96 divisors (see below), whose sum is σ = 283291598016. Its totient is φ = 43923456000.

The previous prime is 122222021017. The next prime is 122222021063. The reversal of 122222021020 is 20120222221.

It is a junction number, because it is equal to n+sod(n) for n = 122222020985 and 122222021003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12816174 + ... + 12825706.

It is an arithmetic number, because the mean of its divisors is an integer number (2950954146).

Almost surely, 2122222021020 is an apocalyptic number.

122222021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122222021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141645799008).

122222021020 is an abundant number, since it is smaller than the sum of its proper divisors (161069576996).

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

122222021020 is a wasteful number, since it uses less digits than its factorization.

122222021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10231 (or 10229 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122222021020 its reverse (20120222221), we get a palindrome (142342243241).

The spelling of 122222021020 in words is "one hundred twenty-two billion, two hundred twenty-two million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 577 1010 1111 1154 2020 2222 2308 2885 4444 5555 5770 6347 9533 11110 11540 12694 19066 22220 25388 31735 38132 47665 58277 63470 95330 104863 116554 126940 190660 209726 233108 291385 419452 524315 582770 641047 962833 1048630 1165540 1282094 1925666 2097260 2564188 3205235 3851332 4814165 5500541 6410470 9628330 10591163 11001082 12820940 19256660 21182326 22002164 27502705 42364652 52955815 55005410 60505951 105911630 110010820 121011902 211823260 242023804 302529755 555554641 605059510 1111109282 1210119020 2222218564 2777773205 5555546410 6111101051 11111092820 12222202102 24444404204 30555505255 61111010510 122222021020