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12341502240 = 2535172432069
BaseRepresentation
bin10110111111001110…
…00110000100100000
31011212002201021100120
423133213012010200
5200233411032430
65400345120240
7614556016044
oct133747060440
934762637316
1012341502240
115263502331
122485189080
131218b33b62
14851116024
154c372b610
hex2df9c6120

12341502240 has 288 divisors, whose sum is σ = 42277878720. Its totient is φ = 3023978496.

The previous prime is 12341502227. The next prime is 12341502259. The reversal of 12341502240 is 4220514321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12341502240.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5963926 + ... + 5965994.

It is an arithmetic number, because the mean of its divisors is an integer number (146798190).

Almost surely, 212341502240 is an apocalyptic number.

12341502240 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 12341502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21138939360).

12341502240 is an abundant number, since it is smaller than the sum of its proper divisors (29936376480).

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

12341502240 is a wasteful number, since it uses less digits than its factorization.

12341502240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 12341502240 in words is "twelve billion, three hundred forty-one million, five hundred two thousand, two hundred forty".