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122200441 = 11391811
BaseRepresentation
bin1110100100010…
…10000101111001
322111221102111021
413102022011321
5222240403231
620043102441
73012454336
oct722120571
9274842437
10122200441
1162a85000
1234b11a21
131c41766c
141232d98d
15aadc811
hex748a179

122200441 has 8 divisors (see below), whose sum is σ = 134412768. Its totient is φ = 111090100.

The previous prime is 122200409. The next prime is 122200447. The reversal of 122200441 is 144002221.

It is not a de Polignac number, because 122200441 - 25 = 122200409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122200447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44575 + ... + 47236.

It is an arithmetic number, because the mean of its divisors is an integer number (16801596).

Almost surely, 2122200441 is an apocalyptic number.

122200441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122200441 is a deficient number, since it is larger than the sum of its proper divisors (12212327).

122200441 is an frugal number, since it uses more digits than its factorization.

122200441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91844 (or 91822 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 122200441 is about 11054.4308311193. The cubic root of 122200441 is about 496.2390358957.

Adding to 122200441 its reverse (144002221), we get a palindrome (266202662).

The spelling of 122200441 in words is "one hundred twenty-two million, two hundred thousand, four hundred forty-one".

Divisors: 1 11 121 1331 91811 1009921 11109131 122200441