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12102022122020 = 2259714941866817
BaseRepresentation
bin1011000000011011100010…
…1110101100101000100100
31120211221102201200212222022
42300012320232230220210
53041234420130401040
641423331530122312
72356225250520335
oct260067056545044
946757381625868
1012102022122020
113946490a97126
121435552880398
1369a2a612091c
142dba5341628c
1515ec0493c6b5
hexb01b8baca24

12102022122020 has 48 divisors (see below), whose sum is σ = 25848573433200. Its totient is φ = 4758749773824.

The previous prime is 12102022121993. The next prime is 12102022122037. The reversal of 12102022122020 is 2022122020121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13591829056 + 12088430292964 = 116584^2 + 3476842^2 .

It is a super-2 number, since 2×121020221220202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12102022122020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20644349 + ... + 21222468.

It is an arithmetic number, because the mean of its divisors is an integer number (538511946525).

Almost surely, 212102022122020 is an apocalyptic number.

12102022122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102022122020 is an abundant number, since it is smaller than the sum of its proper divisors (13746551311180).

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

12102022122020 is a wasteful number, since it uses less digits than its factorization.

12102022122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41867072 (or 41867070 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12102022122020 its reverse (2022122020121), we get a palindrome (14124144142141).

The spelling of 12102022122020 in words is "twelve trillion, one hundred two billion, twenty-two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 97 149 194 298 388 485 596 745 970 1490 1940 2980 14453 28906 57812 72265 144530 289060 41866817 83733634 167467268 209334085 418668170 837336340 4061081249 6238155733 8122162498 12476311466 16244324996 20305406245 24952622932 31190778665 40610812490 62381557330 81221624980 124763114660 605101106101 1210202212202 2420404424404 3025505530505 6051011061010 12102022122020