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122350245225 = 352136115713103
BaseRepresentation
bin111000111110010100…
…1001001010101101001
3102200210210120102211220
41301330221021111221
54001033130321400
6132112410212253
711560644632205
oct1617451112551
9380723512756
10122350245225
114798558414a
121b866a24089
13b6cb0a2410
145cc9533b05
1532b149e7a0
hex1c7ca49569

122350245225 has 96 divisors (see below), whose sum is σ = 222844737024. Its totient is φ = 58864665600.

The previous prime is 122350245211. The next prime is 122350245257. The reversal of 122350245225 is 522542053221.

It is not a de Polignac number, because 122350245225 - 212 = 122350241129 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9331024 + ... + 9344126.

It is an arithmetic number, because the mean of its divisors is an integer number (2321299344).

Almost surely, 2122350245225 is an apocalyptic number.

122350245225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122350245225 is a deficient number, since it is larger than the sum of its proper divisors (100494491799).

122350245225 is a wasteful number, since it uses less digits than its factorization.

122350245225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13347 (or 13342 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 122350245225 its reverse (522542053221), we get a palindrome (644892298446).

The spelling of 122350245225 in words is "one hundred twenty-two billion, three hundred fifty million, two hundred forty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 61 65 75 157 183 195 305 325 471 785 793 915 975 1525 2041 2355 2379 3925 3965 4575 6123 9577 10205 11775 11895 13103 19825 28731 30615 39309 47885 51025 59475 65515 124501 143655 153075 170339 196545 239425 327575 373503 511017 622505 718275 799283 851695 982725 1867515 2057171 2397849 2555085 3112525 3996415 4258475 6171513 9337575 10285855 10390679 11989245 12775425 19982075 26743223 30857565 31172037 51429275 51953395 59946225 80229669 125487431 133716115 154287825 155860185 259766975 376462293 401148345 627437155 668580575 779300925 1631336603 1882311465 2005741725 3137185775 4894009809 8156683015 9411557325 24470049045 40783415075 122350245225