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12129272300 = 22524310492689
BaseRepresentation
bin10110100101111011…
…00000000111101100
31011022022100212121102
423102331200013230
5144320043203200
65323324222232
7606401053625
oct132275400754
934268325542
1012129272300
115164726892
12242609a978
1311b3b87002
14830c6ca4c
154aeca86d5
hex2d2f601ec

12129272300 has 72 divisors (see below), whose sum is σ = 26968326000. Its totient is φ = 4732600320.

The previous prime is 12129272299. The next prime is 12129272321. The reversal of 12129272300 is 327292121.

12129272300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4509356 + ... + 4512044.

Almost surely, 212129272300 is an apocalyptic number.

12129272300 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 12129272300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484163000).

12129272300 is an abundant number, since it is smaller than the sum of its proper divisors (14839053700).

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

12129272300 is a wasteful number, since it uses less digits than its factorization.

12129272300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 12129272300 in words is "twelve billion, one hundred twenty-nine million, two hundred seventy-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1049 1075 2098 2150 2689 4196 4300 5245 5378 10490 10756 13445 20980 26225 26890 45107 52450 53780 67225 90214 104900 115627 134450 180428 225535 231254 268900 451070 462508 578135 902140 1127675 1156270 2255350 2312540 2820761 2890675 4510700 5641522 5781350 11283044 11562700 14103805 28207610 56415220 70519025 121292723 141038050 242585446 282076100 485170892 606463615 1212927230 2425854460 3032318075 6064636150 12129272300