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122200131220 = 22517335317957
BaseRepresentation
bin111000111001110110…
…0100000011010010100
3102200102100002212010221
41301303230200122110
54000231213144340
6132045444524124
711554142656066
oct1616354403224
9380370085127
10122200131220
1147908874292
121b8246b0644
13b6a5c6366b
145cb3619736
1532a31eb44a
hex1c73b20694

122200131220 has 24 divisors (see below), whose sum is σ = 258103637064. Its totient is φ = 48597507456.

The previous prime is 122200131211. The next prime is 122200131253. The reversal of 122200131220 is 22131002221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56272379524 + 65927751696 = 237218^2 + 256764^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122200131194 and 122200131203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17655519 + ... + 17662438.

It is an arithmetic number, because the mean of its divisors is an integer number (10754318211).

Almost surely, 2122200131220 is an apocalyptic number.

122200131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200131220 is an abundant number, since it is smaller than the sum of its proper divisors (135903505844).

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

122200131220 is a wasteful number, since it uses less digits than its factorization.

122200131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35318139 (or 35318137 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122200131220 its reverse (22131002221), we get a palindrome (144331133441).

The spelling of 122200131220 in words is "one hundred twenty-two billion, two hundred million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 35317957 70635914 141271828 176589785 353179570 706359140 6110006561 12220013122 24440026244 30550032805 61100065610 122200131220