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122114230225 = 5213292446773
BaseRepresentation
bin111000110111010010…
…0110100011111010001
3102200012100110122010121
41301232210310133101
54000042220331400
6132033135430241
711552050554631
oct1615644643721
9380170418117
10122114230225
1147874332629
121b7bb985381
13b691218380
145ca60586c1
15329a8ce21a
hex1c6e9347d1

122114230225 has 36 divisors (see below), whose sum is σ = 168886826836. Its totient is φ = 87066927360.

The previous prime is 122114230213. The next prime is 122114230241. The reversal of 122114230225 is 522032411221.

It can be written as a sum of positive squares in 18 ways, for example, as 115904159809 + 6210070416 = 340447^2 + 78804^2 .

It is not a de Polignac number, because 122114230225 - 213 = 122114222033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 122114230225.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49939 + ... + 496711.

Almost surely, 2122114230225 is an apocalyptic number.

It is an amenable number.

122114230225 is a deficient number, since it is larger than the sum of its proper divisors (46772596611).

122114230225 is a wasteful number, since it uses less digits than its factorization.

122114230225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446854 (or 446820 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 122114230225 its reverse (522032411221), we get a palindrome (644146641446).

The spelling of 122114230225 in words is "one hundred twenty-two billion, one hundred fourteen million, two hundred thirty thousand, two hundred twenty-five".

Divisors: 1 5 13 25 29 65 145 325 377 725 841 1885 4205 9425 10933 21025 54665 273325 446773 2233865 5808049 11169325 12956417 29040245 64782085 145201225 168433421 323910425 375736093 842167105 1878680465 4210835525 4884569209 9393402325 24422846045 122114230225