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12020312201040 = 243251113116747399
BaseRepresentation
bin1010111011101011001001…
…1100000101011101010000
31120120010112020001211100200
42232322302130011131100
53033420044410413130
641322015531015200
72350303353613353
oct256726234053520
946503466054320
1012020312201040
113914870961110
12142174a29a500
13692683977960
142d7b0153229a
1515ca212aa760
hexaeeb2705750

12020312201040 has 240 divisors, whose sum is σ = 47425595817600. Its totient is φ = 2689860049920.

The previous prime is 12020312201021. The next prime is 12020312201057. The reversal of 12020312201040 is 4010221302021.

It is a happy number.

12020312201040 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 58270740 + ... + 58476659.

It is an arithmetic number, because the mean of its divisors is an integer number (197606649240).

Almost surely, 212020312201040 is an apocalyptic number.

12020312201040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020312201040 is an abundant number, since it is smaller than the sum of its proper divisors (35405283616560).

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

12020312201040 is a wasteful number, since it uses less digits than its factorization.

12020312201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116747442 (or 116747433 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12020312201040 its reverse (4010221302021), we get a palindrome (16030533503061).

The spelling of 12020312201040 in words is "twelve trillion, twenty billion, three hundred twelve million, two hundred one thousand, forty".