Base | Representation |
---|---|
bin | 10110110010011100… |
… | …10001100011110000 |
3 | 1011120122001110222020 |
4 | 23121032101203300 |
5 | 200023442114100 |
6 | 5342000111440 |
7 | 612115052403 |
oct | 133116214360 |
9 | 34518043866 |
10 | 12234332400 |
11 | 5208a64014 |
12 | 2455305580 |
13 | 11cc87ca54 |
14 | 840bb9d3a |
15 | 4b910c5a0 |
hex | 2d93918f0 |
12234332400 has 120 divisors (see below), whose sum is σ = 39251468400. Its totient is φ = 3257425920.
The previous prime is 12234332377. The next prime is 12234332423. The reversal of 12234332400 is 423343221.
It is an interprime number because it is at equal distance from previous prime (12234332377) and next prime (12234332423).
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800026 + ... + 815174.
It is an arithmetic number, because the mean of its divisors is an integer number (327095570).
Almost surely, 212234332400 is an apocalyptic number.
12234332400 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 12234332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19625734200).
12234332400 is an abundant number, since it is smaller than the sum of its proper divisors (27017136000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12234332400 is a wasteful number, since it uses less digits than its factorization.
12234332400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15843 (or 15832 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 24.
Adding to 12234332400 its reverse (423343221), we get a palindrome (12657675621).
The spelling of 12234332400 in words is "twelve billion, two hundred thirty-four million, three hundred thirty-two thousand, four hundred".
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