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12237088973824 = 21011132232771009
BaseRepresentation
bin1011001000010010101101…
…0101110110010000000000
31121022212001202210212121001
42302010223111312100000
53100443024234130244
642005350245341344
72402046321024361
oct262045325662000
947285052725531
1012237088973824
1139987a1783a90
121457768407854
136a9c4c95c900
143043c77c5b68
151634ac5105d4
hexb212b576400

12237088973824 has 528 divisors, whose sum is σ = 30291975008640. Its totient is φ = 4888626462720.

The previous prime is 12237088973803. The next prime is 12237088973827. The reversal of 12237088973824 is 42837988073221.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (12237088973827) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12127937032 + ... + 12127938040.

Almost surely, 212237088973824 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 12237088973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145987504320).

12237088973824 is an abundant number, since it is smaller than the sum of its proper divisors (18054886034816).

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

12237088973824 is a wasteful number, since it uses less digits than its factorization.

12237088973824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 64.

The spelling of 12237088973824 in words is "twelve trillion, two hundred thirty-seven billion, eighty-eight million, nine hundred seventy-three thousand, eight hundred twenty-four".