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12011554355440 = 245346743306729
BaseRepresentation
bin1010111011001010100001…
…1011100011100011110000
31120112021220212122011201211
42232302220123203203300
53033244130403333230
641314010520005504
72346543341266663
oct256625033434360
946467825564654
1012011554355440
113911087325092
12141bb05300894
136918b9420cb3
142d75103536da
1515c6ac4b342a
hexaeca86e38f0

12011554355440 has 40 divisors (see below), whose sum is σ = 27934919573040. Its totient is φ = 4803235815936.

The previous prime is 12011554355417. The next prime is 12011554355459. The reversal of 12011554355440 is 4455345511021.

12011554355440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12011554355393 and 12011554355402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21376005 + ... + 21930724.

It is an arithmetic number, because the mean of its divisors is an integer number (698372989326).

Almost surely, 212011554355440 is an apocalyptic number.

12011554355440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011554355440 is an abundant number, since it is smaller than the sum of its proper divisors (15923365217600).

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

12011554355440 is a wasteful number, since it uses less digits than its factorization.

12011554355440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43310209 (or 43310203 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

Adding to 12011554355440 its reverse (4455345511021), we get a palindrome (16466899866461).

The spelling of 12011554355440 in words is "twelve trillion, eleven billion, five hundred fifty-four million, three hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3467 6934 13868 17335 27736 34670 55472 69340 138680 277360 43306729 86613458 173226916 216533645 346453832 433067290 692907664 866134580 1732269160 3464538320 150144429443 300288858886 600577717772 750722147215 1201155435544 1501444294430 2402310871088 3002888588860 6005777177720 12011554355440