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120797386225 = 5210147840549
BaseRepresentation
bin111000010000000010…
…1011101010111110001
3102112210120121000202121
41300200011131113301
53434343112324400
6131254335114241
711504320561405
oct1604005352761
9375716530677
10120797386225
1147258a801aa
121b4b2972981
13b511463639
145bbd1d1105
15321eeb321a
hex1c2015d5f1

120797386225 has 12 divisors (see below), whose sum is σ = 151271819100. Its totient is φ = 95681096000.

The previous prime is 120797386201. The next prime is 120797386253. The reversal of 120797386225 is 522683797021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 23420935521 + 97376450704 = 153039^2 + 312052^2 .

It is not a de Polignac number, because 120797386225 - 221 = 120795289073 is a prime.

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 11 ways as a sum of consecutive naturals, for example, 23917750 + ... + 23922799.

It is an arithmetic number, because the mean of its divisors is an integer number (12605984925).

Almost surely, 2120797386225 is an apocalyptic number.

It is an amenable number.

120797386225 is a deficient number, since it is larger than the sum of its proper divisors (30474432875).

120797386225 is a wasteful number, since it uses less digits than its factorization.

120797386225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47840660 (or 47840655 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 120797386225 in words is "one hundred twenty billion, seven hundred ninety-seven million, three hundred eighty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 101 505 2525 47840549 239202745 1196013725 4831895449 24159477245 120797386225