Search a number
-
+
12043403120 = 245722993913
BaseRepresentation
bin10110011011101011…
…11011111101110000
31011002022210021020102
423031311323331300
5144131102344440
65311015531532
7604306144310
oct131565737560
934068707212
1012043403120
115120207021
122401389ba8
13119c150348
148236b9440
154a7495b15
hex2cdd7bf70

12043403120 has 80 divisors (see below), whose sum is σ = 32141127360. Its totient is φ = 4111091712.

The previous prime is 12043403117. The next prime is 12043403123. The reversal of 12043403120 is 2130434021.

It is an interprime number because it is at equal distance from previous prime (12043403117) and next prime (12043403123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12043403092 and 12043403101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12043403123) 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, 81284 + ... + 175196.

It is an arithmetic number, because the mean of its divisors is an integer number (401764092).

Almost surely, 212043403120 is an apocalyptic number.

12043403120 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 12043403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070563680).

12043403120 is an abundant number, since it is smaller than the sum of its proper divisors (20097724240).

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

12043403120 is a wasteful number, since it uses less digits than its factorization.

12043403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94162 (or 94156 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12043403120 its reverse (2130434021), we get a palindrome (14173837141).

The spelling of 12043403120 in words is "twelve billion, forty-three million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 229 280 458 560 916 1145 1603 1832 2290 3206 3664 4580 6412 8015 9160 12824 16030 18320 25648 32060 64120 93913 128240 187826 375652 469565 657391 751304 939130 1314782 1502608 1878260 2629564 3286955 3756520 5259128 6573910 7513040 10518256 13147820 21506077 26295640 43012154 52591280 86024308 107530385 150542539 172048616 215060770 301085078 344097232 430121540 602170156 752712695 860243080 1204340312 1505425390 1720486160 2408680624 3010850780 6021701560 12043403120