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122210020212 = 223729471067411
BaseRepresentation
bin111000111010001001…
…0001110101101110100
3102200110000201021021220
41301310102032231310
54000241231121322
6132050440510340
711554323014010
oct1616422165564
9380400637256
10122210020212
1147913409005
121b827a7b3b0
13b6a8016837
145cb4a71540
1532a400155c
hex1c7448eb74

122210020212 has 96 divisors (see below), whose sum is σ = 344304414720. Its totient is φ = 32995777920.

The previous prime is 122210020211. The next prime is 122210020279. The reversal of 122210020212 is 212020012221.

It is a junction number, because it is equal to n+sod(n) for n = 122210020191 and 122210020200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210020211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 419214 + ... + 648197.

It is an arithmetic number, because the mean of its divisors is an integer number (3586504320).

Almost surely, 2122210020212 is an apocalyptic number.

122210020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122210020212 is an abundant number, since it is smaller than the sum of its proper divisors (222094394508).

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

122210020212 is a wasteful number, since it uses less digits than its factorization.

122210020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067501 (or 1067499 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122210020212 its reverse (212020012221), we get a palindrome (334230032433).

The spelling of 122210020212 in words is "one hundred twenty-two billion, two hundred ten million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 47 58 84 87 94 116 141 174 188 203 282 329 348 406 564 609 658 812 987 1218 1316 1363 1974 2436 2726 3948 4089 5452 8178 9541 16356 19082 28623 38164 57246 114492 1067411 2134822 3202233 4269644 6404466 7471877 12808932 14943754 22415631 29887508 30954919 44831262 50168317 61909838 89662524 92864757 100336634 123819676 150504951 185729514 200673268 216684433 301009902 351178219 371459028 433368866 602019804 650053299 702356438 866737732 1053534657 1300106598 1404712876 1454881193 2107069314 2600213196 2909762386 4214138628 4364643579 5819524772 8729287158 10184168351 17458574316 20368336702 30552505053 40736673404 61105010106 122210020212