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122201110122020 = 22513301345935777
BaseRepresentation
bin11011110010010000101001…
…110000101000111000100100
3121000200022102110210121112022
4123302100221300220320210
5112004120333142401040
61111522225345442312
734511511266420456
oct3362205160507044
9530608373717468
10122201110122020
1135a34221984306
1211857488640398
135325690c96137
1422267cb2162d6
15e1dae828c6b5
hex6f2429c28e24

122201110122020 has 24 divisors (see below), whose sum is σ = 256624266145464. Its totient is φ = 48880075498496.

The previous prime is 122201110122019. The next prime is 122201110122023. The reversal of 122201110122020 is 20221011102221.

122201110122020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5351236599076 + 116849873522944 = 2313274^2 + 10809712^2 .

It is a super-2 number, since 2×1222011101220202 (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 122201110122020.

It is not an unprimeable number, because it can be changed into a prime (122201110122023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20307629 + ... + 25628148.

It is an arithmetic number, because the mean of its divisors is an integer number (10692677756061).

Almost surely, 2122201110122020 is an apocalyptic number.

122201110122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201110122020 is an abundant number, since it is smaller than the sum of its proper divisors (134423156023444).

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

122201110122020 is a wasteful number, since it uses less digits than its factorization.

122201110122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46068799 (or 46068797 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122201110122020 its reverse (20221011102221), we get a palindrome (142422121224241).

The spelling of 122201110122020 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred ten million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 133013 266026 532052 665065 1330130 2660260 45935777 91871554 183743108 229678885 459357770 918715540 6110055506101 12220111012202 24440222024404 30550277530505 61100555061010 122201110122020