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122102101112220 = 22325678345006179
BaseRepresentation
bin11011110000110100011100…
…010111001111010110011100
3121000022211212100212210021100
4123300310130113033112130
5112001010100341042340
61111404533023033100
734501404614626305
oct3360643427172634
9530284770783240
10122102101112220
11359a6234978879
121184025673b790
13531924288a938
142221ab7a397ac
15e1b251054830
hex6f0d1c5cf59c

122102101112220 has 36 divisors (see below), whose sum is σ = 370376373374280. Its totient is φ = 32560560296544.

The previous prime is 122102101112203. The next prime is 122102101112267. The reversal of 122102101112220 is 22211101201221.

122102101112220 is a `hidden beast` number, since 1 + 2 + 210 + 210 + 11 + 12 + 220 = 666.

122102101112220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×1221021011122202 (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 a junction number, because it is equal to n+sod(n) for n = 122102101112193 and 122102101112202.

It is a congruent number.

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, 339172502910 + ... + 339172503269.

It is an arithmetic number, because the mean of its divisors is an integer number (10288232593730).

Almost surely, 2122102101112220 is an apocalyptic number.

122102101112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102101112220 is an abundant number, since it is smaller than the sum of its proper divisors (248274272262060).

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

122102101112220 is a wasteful number, since it uses less digits than its factorization.

122102101112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678345006194 (or 678345006189 counting only the distinct ones).

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

Adding to 122102101112220 its reverse (22211101201221), we get a palindrome (144313202313441).

The spelling of 122102101112220 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 678345006179 1356690012358 2035035018537 2713380024716 3391725030895 4070070037074 6105105055611 6783450061790 8140140074148 10175175092685 12210210111222 13566900123580 20350350185370 24420420222444 30525525278055 40700700370740 61051050556110 122102101112220