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122201112010212 = 223229117050873573
BaseRepresentation
bin11011110010010000101001…
…110111110101110111100100
3121000200022102121100112122100
4123302100221313311313210
5112004120334133311322
61111522225454132100
734511511321443424
oct3362205167656744
9530608377315570
10122201112010212
1135a34222a539a4
12118574891b1030
1353256914a7701
1422267cb588484
15e1dae8511dac
hex6f2429df5de4

122201112010212 has 36 divisors (see below), whose sum is σ = 319548884857020. Its totient is φ = 39329093520192.

The previous prime is 122201112010207. The next prime is 122201112010267. The reversal of 122201112010212 is 212010211102221.

122201112010212 is a `hidden beast` number, since 122 + 20 + 111 + 201 + 0 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64970918686116 + 57230193324096 = 8060454^2 + 7565064^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1222011120102122 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58525435743 + ... + 58525437830.

It is an arithmetic number, because the mean of its divisors is an integer number (8876357912695).

Almost surely, 2122201112010212 is an apocalyptic number.

122201112010212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122201112010212 is an abundant number, since it is smaller than the sum of its proper divisors (197347772846808).

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

122201112010212 is a wasteful number, since it uses less digits than its factorization.

122201112010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117050873612 (or 117050873607 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122201112010212 its reverse (212010211102221), we get a palindrome (334211323112433).

The spelling of 122201112010212 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred twelve million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 117050873573 234101747146 351152620719 468203494292 702305241438 1053457862157 1404610482876 2106915724314 3394475333617 4213831448628 6788950667234 10183426000851 13577901334468 20366852001702 30550278002553 40733704003404 61100556005106 122201112010212