| Base | Representation |
|---|---|
| bin | 110111111000101011… |
| … | …0110110000000000000 |
| 3 | 102110202221102010121002 |
| 4 | 1233301112312000000 |
| 5 | 3431241413230100 |
| 6 | 131044451551132 |
| 7 | 11446021122305 |
| oct | 1576126660000 |
| 9 | 373687363532 |
| 10 | 120013414400 |
| 11 | 46996497600 |
| 12 | 1b3142bb4a8 |
| 13 | b417c03099 |
| 14 | 5b470390ac |
| 15 | 31c62552d5 |
| hex | 1bf15b6000 |
120013414400 has 504 divisors, whose sum is σ = 340437429360. Its totient is φ = 41884057600.
The previous prime is 120013414361. The next prime is 120013414439. The reversal of 120013414400 is 4414310021.
120013414400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (120013414361) and next prime (120013414439).
It is a super-2 number, since 2×1200134144002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
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, 718643117 + ... + 718643283.
It is an arithmetic number, because the mean of its divisors is an integer number (675471090).
Almost surely, 2120013414400 is an apocalyptic number.
120013414400 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 120013414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170218714680).
120013414400 is an abundant number, since it is smaller than the sum of its proper divisors (220424014960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120013414400 is a wasteful number, since it uses less digits than its factorization.
120013414400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 254 (or 214 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
Adding to 120013414400 its reverse (4414310021), we get a palindrome (124427724421).
The spelling of 120013414400 in words is "one hundred twenty billion, thirteen million, four hundred fourteen thousand, four hundred".
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