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11120424000000 = 293567371789
BaseRepresentation
bin1010000111010010110011…
…1011000001101000000000
31110101002202110122201110120
42201310230323001220000
52424144112021000000
635352352515500240
72225265321246330
oct241645473015000
943332673581416
1011120424000000
1135a8166491557
1212b72675b7680
136288614039a3
142a6334d2d0c0
151444039b46a0
hexa1d2cec1a00

11120424000000 has 1120 divisors, whose sum is σ = 43489730824320. Its totient is φ = 2471731200000.

The previous prime is 11120423999989. The next prime is 11120424000017. The reversal of 11120424000000 is 42402111.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6215999106 + ... + 6216000894.

Almost surely, 211120424000000 is an apocalyptic number.

11120424000000 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 11120424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21744865412160).

11120424000000 is an abundant number, since it is smaller than the sum of its proper divisors (32369306824320).

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

11120424000000 is an frugal number, since it uses more digits than its factorization.

11120424000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11120424000000 its reverse (42402111), we get a palindrome (11120466402111).

The spelling of 11120424000000 in words is "eleven trillion, one hundred twenty billion, four hundred twenty-four million", and thus it is an aban number.