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122010104144 = 247625631509
BaseRepresentation
bin111000110100001011…
…1100111000101010000
3102122221002112111000002
41301220113213011100
53444334041313034
6132014535545132
711546344526225
oct1615027470520
9378832474002
10122010104144
1147820583115
121b790b2b1a8
13b67578b7c6
145c962b194c
1532916b1e7e
hex1c685e7150

122010104144 has 10 divisors (see below), whose sum is σ = 236394576810. Its totient is φ = 61005052064.

The previous prime is 122010104143. The next prime is 122010104147. The reversal of 122010104144 is 441401010221.

122010104144 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 only one way, i.e., 105469057600 + 16541046544 = 324760^2 + 128612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010104143) by changing a digit.

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 as a sum of consecutive naturals, namely, 3812815739 + ... + 3812815770.

It is an arithmetic number, because the mean of its divisors is an integer number (23639457681).

Almost surely, 2122010104144 is an apocalyptic number.

It is an amenable number.

122010104144 is a deficient number, since it is larger than the sum of its proper divisors (114384472666).

122010104144 is an equidigital number, since it uses as much as digits as its factorization.

122010104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7625631517 (or 7625631511 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122010104144 its reverse (441401010221), we get a palindrome (563411114365).

The spelling of 122010104144 in words is "one hundred twenty-two billion, ten million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 7625631509 15251263018 30502526036 61005052072 122010104144