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122222102020 = 225193283711161
BaseRepresentation
bin111000111010100000…
…0010100011000000100
3102200110212110002102021
41301311000110120010
54000302324231040
6132051551452524
711554530503644
oct1616500243004
9380425402367
10122222102020
114791a210277
121b82bb27144
13b6aa686b35
145cb64d8524
1532a50db24a
hex1c75014604

122222102020 has 48 divisors (see below), whose sum is σ = 258110355888. Its totient is φ = 48614031360.

The previous prime is 122222102011. The next prime is 122222102033. The reversal of 122222102020 is 20201222221.

It can be written as a sum of positive squares in 8 ways, for example, as 65942131264 + 56279970756 = 256792^2 + 237234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122222101985 and 122222102003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10945240 + ... + 10956400.

It is an arithmetic number, because the mean of its divisors is an integer number (5377299081).

Almost surely, 2122222102020 is an apocalyptic number.

122222102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122222102020 is an abundant number, since it is smaller than the sum of its proper divisors (135888253868).

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

122222102020 is a wasteful number, since it uses less digits than its factorization.

122222102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14200 (or 14198 counting only the distinct ones).

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

Adding to 122222102020 its reverse (20201222221), we get a palindrome (142423324241).

The spelling of 122222102020 in words is "one hundred twenty-two billion, two hundred twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 2837 3860 5674 11161 11348 14185 22322 28370 44644 55805 56740 111610 223220 547541 1095082 2154073 2190164 2737705 4308146 5475410 8616292 10770365 10950820 21540730 31663757 43081460 63327514 126655028 158318785 316637570 633275140 6111105101 12222210202 24444420404 30555525505 61111051010 122222102020