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12324041200 = 2452171812359
BaseRepresentation
bin10110111101001000…
…11111000111110000
31011210212212011022101
423132210133013300
5200214423304300
65354522550144
7614254423162
oct133644370760
934725764271
1012324041200
115254666619
12247b368354
13121532c293
1484ca8c932
154c1e2cb6a
hex2de91f1f0

12324041200 has 60 divisors (see below), whose sum is σ = 31350203280. Its totient is φ = 4639636480.

The previous prime is 12324041131. The next prime is 12324041201. The reversal of 12324041200 is 214042321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12324041201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 899380 + ... + 912979.

It is an arithmetic number, because the mean of its divisors is an integer number (522503388).

Almost surely, 212324041200 is an apocalyptic number.

12324041200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12324041200 is an abundant number, since it is smaller than the sum of its proper divisors (19026162080).

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

12324041200 is a wasteful number, since it uses less digits than its factorization.

12324041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812394 (or 1812383 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12324041200 its reverse (214042321), we get a palindrome (12538083521).

The spelling of 12324041200 in words is "twelve billion, three hundred twenty-four million, forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 1812359 3624718 7249436 9061795 14498872 18123590 28997744 30810103 36247180 45308975 61620206 72494360 90617950 123240412 144988720 154050515 181235900 246480824 308101030 362471800 492961648 616202060 724943600 770252575 1232404120 1540505150 2464808240 3081010300 6162020600 12324041200