Base | Representation |
---|---|
bin | 11011110010100010001111… |
… | …110000000000100110000100 |
3 | 121000202010012000111211121100 |
4 | 123302202033300000212010 |
5 | 112004423030240232322 |
6 | 1111535032101020100 |
7 | 34513050364203456 |
oct | 3362421760004604 |
9 | 530663160454540 |
10 | 122220001102212 |
11 | 35a41236398332 |
12 | 1185b07b0b4630 |
13 | 53273b1982720 |
14 | 22276a00d22d6 |
15 | e1e35198edac |
hex | 6f288fc00984 |
122220001102212 has 72 divisors (see below), whose sum is σ = 344182761762840. Its totient is φ = 36309390243840.
The previous prime is 122220001102207. The next prime is 122220001102219. The reversal of 122220001102212 is 212201100022221.
It is a happy number.
122220001102212 is a `hidden beast` number, since 122 + 220 + 0 + 0 + 110 + 2 + 212 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 4602852721476 + 117617148380736 = 2145426^2 + 10845144^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (122220001102219) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 4502638989 + ... + 4502666132.
It is an arithmetic number, because the mean of its divisors is an integer number (4780316135595).
Almost surely, 2122220001102212 is an apocalyptic number.
122220001102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
122220001102212 is an abundant number, since it is smaller than the sum of its proper divisors (221962760660628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122220001102212 is a wasteful number, since it uses less digits than its factorization.
122220001102212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9005305173 (or 9005305168 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 122220001102212 its reverse (212201100022221), we get a palindrome (334421101124433).
The spelling of 122220001102212 in words is "one hundred twenty-two trillion, two hundred twenty billion, one million, one hundred two thousand, two hundred twelve".
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