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12024332340 = 22351511976737
BaseRepresentation
bin10110011001011010…
…01100000000110100
31011000222220101001020
423030231030000310
5144111212113330
65305055101140
7603655065336
oct131455140064
934028811036
1012024332340
115110470949
1223b6b117b0
131198203b67
14820d53456
154a597a210
hex2ccb4c034

12024332340 has 96 divisors (see below), whose sum is σ = 34068190464. Its totient is φ = 3168614400.

The previous prime is 12024332323. The next prime is 12024332347. The reversal of 12024332340 is 4323342021.

It is a self number, because there is not a number n which added to its sum of digits gives 12024332340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12024332347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1781452 + ... + 1788188.

It is an arithmetic number, because the mean of its divisors is an integer number (354876984).

Almost surely, 212024332340 is an apocalyptic number.

12024332340 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 12024332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034095232).

12024332340 is an abundant number, since it is smaller than the sum of its proper divisors (22043858124).

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

12024332340 is a wasteful number, since it uses less digits than its factorization.

12024332340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7097 (or 7095 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12024332340 its reverse (4323342021), we get a palindrome (16347674361).

The spelling of 12024332340 in words is "twelve billion, twenty-four million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 197 302 394 453 591 604 755 788 906 985 1182 1510 1812 1970 2265 2364 2955 3020 3940 4530 5910 6737 9060 11820 13474 20211 26948 29747 33685 40422 59494 67370 80844 89241 101055 118988 134740 148735 178482 202110 297470 356964 404220 446205 594940 892410 1017287 1327189 1784820 2034574 2654378 3051861 3981567 4069148 5086435 5308756 6103722 6635945 7963134 10172870 12207444 13271890 15259305 15926268 19907835 20345740 26543780 30518610 39815670 61037220 79631340 200405539 400811078 601216617 801622156 1002027695 1202433234 2004055390 2404866468 3006083085 4008110780 6012166170 12024332340