Base | Representation |
---|---|
bin | 111000110111011110… |
… | …1000111111100011100 |
3 | 102200012210110022201000 |
4 | 1301232331013330130 |
5 | 4000100333220442 |
6 | 132033524150300 |
7 | 11552155661460 |
oct | 1615675077434 |
9 | 380183408630 |
10 | 122120601372 |
11 | 47877994340 |
12 | 1b801b38390 |
13 | b692639293 |
14 | 5ca6c364a0 |
15 | 329b23bd4c |
hex | 1c6ef47f1c |
122120601372 has 384 divisors, whose sum is σ = 412928409600. Its totient is φ = 30264537600.
The previous prime is 122120601329. The next prime is 122120601389. The reversal of 122120601372 is 273106021221.
122120601372 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 20 + 601 + 37 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145554529 + ... + 145555367.
It is an arithmetic number, because the mean of its divisors is an integer number (1075334400).
Almost surely, 2122120601372 is an apocalyptic number.
122120601372 is a gapful number since it is divisible by the number (12) 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 122120601372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206464204800).
122120601372 is an abundant number, since it is smaller than the sum of its proper divisors (290807808228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122120601372 is a wasteful number, since it uses less digits than its factorization.
122120601372 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1654 (or 1646 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 27.
Adding to 122120601372 its reverse (273106021221), we get a palindrome (395226622593).
The spelling of 122120601372 in words is "one hundred twenty-two billion, one hundred twenty million, six hundred one thousand, three hundred seventy-two".
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