Base | Representation |
---|---|
bin | 111001000000001101… |
… | …0100001010010000000 |
3 | 102200222012122010112002 |
4 | 1302000122201102000 |
5 | 4001200330120000 |
6 | 132122550323132 |
7 | 11562343515602 |
oct | 1620032412200 |
9 | 380865563462 |
10 | 122413520000 |
11 | 47a08271452 |
12 | 1b8840594a8 |
13 | b70b227b05 |
14 | 5cd3ac5172 |
15 | 32b6cec8d5 |
hex | 1c806a1480 |
122413520000 has 120 divisors (see below), whose sum is σ = 304987361085. Its totient is φ = 48925824000.
The previous prime is 122413519961. The next prime is 122413520041. The reversal of 122413520000 is 25314221.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 8 ways, for example, as 31091776 + 122382428224 = 5576^2 + 349832^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=247400.
It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 98959382 + ... + 98960618.
Almost surely, 2122413520000 is an apocalyptic number.
122413520000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122413520000
122413520000 is an abundant number, since it is smaller than the sum of its proper divisors (182573841085).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122413520000 is an frugal number, since it uses more digits than its factorization.
122413520000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2508 (or 1244 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 20.
Adding to 122413520000 its reverse (25314221), we get a palindrome (122438834221).
The spelling of 122413520000 in words is "one hundred twenty-two billion, four hundred thirteen million, five hundred twenty thousand".
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