Search a number
-
+
122201122010212 = 22726710199132089
BaseRepresentation
bin11011110010010000101010…
…011101111111010001100100
3121000200022110022011121001201
4123302100222131333101210
5112004120344213311322
61111522230452332244
734511511502443100
oct3362205235772144
9530608408147051
10122201122010212
1135a34228664063
1211857490614084
13532569359927b
1422267cca2c900
15e1dae9339d27
hex6f242a77f464

122201122010212 has 72 divisors (see below), whose sum is σ = 252727303197600. Its totient is φ = 51539605197696.

The previous prime is 122201122010171. The next prime is 122201122010237. The reversal of 122201122010212 is 212010221102221.

It is a super-2 number, since 2×1222011220102122 (a number of 29 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 122201122010212.

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, 8815464 + ... + 17947552.

It is an arithmetic number, because the mean of its divisors is an integer number (3510101433300).

Almost surely, 2122201122010212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122201122010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126363651598800).

122201122010212 is an abundant number, since it is smaller than the sum of its proper divisors (130526181187388).

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

122201122010212 is a wasteful number, since it uses less digits than its factorization.

122201122010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9133193 (or 9133184 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122201122010212 its reverse (212010221102221), we get a palindrome (334211343112433).

The spelling of 122201122010212 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred twenty-two million, ten thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 268 469 938 1019 1876 2038 3283 4076 6566 7133 13132 14266 28532 49931 68273 99862 136546 199724 273092 477911 955822 1911644 3345377 6690754 9132089 13381508 18264178 36528356 63924623 127849246 255698492 447472361 611849963 894944722 1223699926 1789889444 2447399852 4282949741 8565899482 9305598691 17131798964 18611197382 29980648187 37222394764 59961296374 65139190837 119922592748 130278381674 260556763348 455974335859 623475112297 911948671718 1246950224594 1823897343436 2493900449188 4364325786079 8728651572158 17457303144316 30550280502553 61100561005106 122201122010212