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122213302020 = 223251913554779
BaseRepresentation
bin111000111010001111…
…0101111111100000100
3102200110020220000002100
41301310132233330010
54000243101131040
6132051035112100
711554362632655
oct1616436577404
9380406800070
10122213302020
114791524a747
121b828ba2630
13b6a88c5534
145cb528752c
1532a444db30
hex1c747aff04

122213302020 has 72 divisors (see below), whose sum is σ = 372654696960. Its totient is φ = 32419575360.

The previous prime is 122213302009. The next prime is 122213302069. The reversal of 122213302020 is 20203312221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122213301984 and 122213302002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1743010 + ... + 1811769.

It is an arithmetic number, because the mean of its divisors is an integer number (5175759680).

Almost surely, 2122213302020 is an apocalyptic number.

122213302020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122213302020 is an abundant number, since it is smaller than the sum of its proper divisors (250441394940).

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

122213302020 is a wasteful number, since it uses less digits than its factorization.

122213302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554985 (or 3554980 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122213302020 its reverse (20203312221), we get a palindrome (142416614241).

The spelling of 122213302020 in words is "one hundred twenty-two billion, two hundred thirteen million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3438 3820 5730 6876 8595 11460 17190 34380 3554779 7109558 10664337 14219116 17773895 21328674 31993011 35547790 42657348 53321685 63986022 71095580 106643370 127972044 159965055 213286740 319930110 639860220 678962789 1357925578 2036888367 2715851156 3394813945 4073776734 6110665101 6789627890 8147553468 10184441835 12221330202 13579255780 20368883670 24442660404 30553325505 40737767340 61106651010 122213302020