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12252236840064 = 2733132397112211
BaseRepresentation
bin1011001001001011001000…
…1110010111110010000000
31121101022011110012012122000
42302102302032113302000
53101220040112340224
642020333324544000
72403123564535614
oct262226216276200
947338143165560
1012252236840064
1139a4165310101
12145a6953b2000
136ab4c500b580
143050234db344
15163a972d20c9
hexb24b2397c80

12252236840064 has 512 divisors, whose sum is σ = 40681083340800. Its totient is φ = 3602000793600.

The previous prime is 12252236840059. The next prime is 12252236840093. The reversal of 12252236840064 is 46004863225221.

It is a happy number.

12252236840064 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 2 + 236 + 8 + 400 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1003370919 + ... + 1003383129.

It is an arithmetic number, because the mean of its divisors is an integer number (79455240900).

Almost surely, 212252236840064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12252236840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20340541670400).

12252236840064 is an abundant number, since it is smaller than the sum of its proper divisors (28428846500736).

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

12252236840064 is a wasteful number, since it uses less digits than its factorization.

12252236840064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13241 (or 13223 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 12252236840064 in words is "twelve trillion, two hundred fifty-two billion, two hundred thirty-six million, eight hundred forty thousand, sixty-four".