| Base | Representation |
|---|---|
| bin | 111001000001000100… |
| … | …0010100011111010000 |
| 3 | 102201001012210110222102 |
| 4 | 1302002020110133100 |
| 5 | 4001230212202230 |
| 6 | 132125455255532 |
| 7 | 11563143256412 |
| oct | 1620210243720 |
| 9 | 381035713872 |
| 10 | 122442303440 |
| 11 | 47a22540916 |
| 12 | 1b89181a5a8 |
| 13 | b714195132 |
| 14 | 5cd78589b2 |
| 15 | 32b95d6045 |
| hex | 1c822147d0 |
122442303440 has 80 divisors (see below), whose sum is σ = 301214798400. Its totient is φ = 46158667776.
The previous prime is 122442303439. The next prime is 122442303449. The reversal of 122442303440 is 44303244221.
122442303440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-3 number, since 3×1224423034403 (a number of 34 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122442303449) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84671 + ... + 502049.
It is an arithmetic number, because the mean of its divisors is an integer number (3765184980).
Almost surely, 2122442303440 is an apocalyptic number.
122442303440 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 122442303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150607399200).
122442303440 is an abundant number, since it is smaller than the sum of its proper divisors (178772494960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122442303440 is a wasteful number, since it uses less digits than its factorization.
122442303440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 417604 (or 417598 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 29.
Adding to 122442303440 its reverse (44303244221), we get a palindrome (166745547661).
The spelling of 122442303440 in words is "one hundred twenty-two billion, four hundred forty-two million, three hundred three thousand, four hundred forty".
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