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12005442240 = 2635111517529
BaseRepresentation
bin10110010111001010…
…01000001011000000
31010222200100122200220
423023211020023000
5144041343122430
65303142143040
7603335401221
oct131345101300
933880318626
1012005442240
1151008394a0
1223b0721a80
13119431b99c
1481c637248
154a3e98110
hex2cb9482c0

12005442240 has 224 divisors, whose sum is σ = 41863426560. Its totient is φ = 2890752000.

The previous prime is 12005442223. The next prime is 12005442257. The reversal of 12005442240 is 4224450021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12005442223) and next prime (12005442257).

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 12005442240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1590796 + ... + 1598324.

Almost surely, 212005442240 is an apocalyptic number.

12005442240 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 12005442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20931713280).

12005442240 is an abundant number, since it is smaller than the sum of its proper divisors (29857984320).

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

12005442240 is a wasteful number, since it uses less digits than its factorization.

12005442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 12005442240 its reverse (4224450021), we get a palindrome (16229892261).

The spelling of 12005442240 in words is "twelve billion, five million, four hundred forty-two thousand, two hundred forty".