Base | Representation |
---|---|

bin | 100101100100101100000 |

3 | 2022112220000 |

4 | 10230211200 |

5 | 303344300 |

6 | 42220000 |

7 | 13315335 |

oct | 4544540 |

9 | 2275800 |

10 | 1231200 |

11 | 771023 |

12 | 4b4600 |

13 | 341529 |

14 | 24098c |

15 | 194c00 |

hex | 12c960 |

1231200 has 180 divisors, whose sum is σ = 4726260. Its totient is φ = 311040.

The previous prime is 1231199. The next prime is 1231201. The reversal of 1231200 is 21321.

1231200 = 66^{3} + 67^{3} + ... + 69^{3}.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1231199) and next prime (1231201).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64791 + ... + 64809.

It is an arithmetic number, because the mean of its divisors is an integer number (26257).

2^{1231200} is an apocalyptic number.

1231200 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 1231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363130).

1231200 is an abundant number, since it is smaller than the sum of its proper divisors (3495060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1231200 is a wasteful number, since it uses less digits than its factorization.

1231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1231200 is about 1109.5945205344. The cubic root of 1231200 is about 107.1789592625.

Adding to 1231200 its reverse (21321), we get a palindrome (1252521).

It can be divided in two parts, 1231 and 200, that added together give a triangular number (1431 = T_{53}).

The spelling of 1231200 in words is "one million, two hundred thirty-one thousand, two hundred".

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