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12234037066272 = 253373019670031
BaseRepresentation
bin1011001000000111010101…
…1011101111101000100000
31121022120012002002220111000
42302001311123233220200
53100420301442110042
642004123344352000
72401610562160620
oct262016533575040
947276162086430
1012234037066272
113997475a8a73a
121457056315600
136a98845a2958
143041b834a880
1516337e61674c
hexb20756efa20

12234037066272 has 192 divisors, whose sum is σ = 40793692262400. Its totient is φ = 3494276133120.

The previous prime is 12234037066261. The next prime is 12234037066331. The reversal of 12234037066272 is 27266073043221.

12234037066272 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 4 + 0 + 370 + 6 + 6 + 272 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17923897 + ... + 18593927.

It is an arithmetic number, because the mean of its divisors is an integer number (212467147200).

Almost surely, 212234037066272 is an apocalyptic number.

12234037066272 is a gapful number since it is divisible by the number (12) 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 12234037066272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20396846131200).

12234037066272 is an abundant number, since it is smaller than the sum of its proper divisors (28559655196128).

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

12234037066272 is a wasteful number, since it uses less digits than its factorization.

12234037066272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673076 (or 673062 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 12234037066272 in words is "twelve trillion, two hundred thirty-four billion, thirty-seven million, sixty-six thousand, two hundred seventy-two".