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122010202020 = 223571915289499
BaseRepresentation
bin111000110100001011…
…1111110111110100100
3102122221002201110021010
41301220113332332210
53444334102431040
6132014542022220
711546345414460
oct1615027767644
9378832643233
10122010202020
114782063a703
121b790b77970
13b6757c4215
145c962d94a0
1532916d0e80
hex1c685fefa4

122010202020 has 96 divisors (see below), whose sum is σ = 410981760000. Its totient is φ = 26420252544.

The previous prime is 122010201991. The next prime is 122010202021. The reversal of 122010202020 is 20202010221.

122010202020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1220102020202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122010201987 and 122010202005.

It is not an unprimeable number, because it can be changed into a prime (122010202021) 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, 7636770 + ... + 7652729.

It is an arithmetic number, because the mean of its divisors is an integer number (4281060000).

Almost surely, 2122010202020 is an apocalyptic number.

122010202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010202020 is an abundant number, since it is smaller than the sum of its proper divisors (288971557980).

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

122010202020 is a wasteful number, since it uses less digits than its factorization.

122010202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15289537 (or 15289535 counting only the distinct ones).

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

Adding to 122010202020 its reverse (20202010221), we get a palindrome (142212212241).

The spelling of 122010202020 in words is "one hundred twenty-two billion, ten million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 15289499 30578998 45868497 61157996 76447495 91736994 107026493 152894990 183473988 214052986 229342485 290500481 305789980 321079479 428105972 458684970 535132465 581000962 642158958 871501443 917369940 1070264930 1162001924 1284317916 1452502405 1605397395 1743002886 2033503367 2140529860 2905004810 3210794790 3486005772 4067006734 4357507215 5810009620 6100510101 6421589580 8134013468 8715014430 10167516835 12201020202 17430028860 20335033670 24402040404 30502550505 40670067340 61005101010 122010202020