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12022043796672 = 2637132934996781
BaseRepresentation
bin1010111011110001100110…
…1001100110010011000000
31120120021222220101000000020
42232330121221212103000
53033432121202443142
641322503425053440
72350364311131210
oct256743151462300
946507886330006
1012022043796672
11391557a344588
121421b52187280
1369289b637560
142d7c274c0240
1515cac3300cec
hexaef19a664c0

12022043796672 has 448 divisors, whose sum is σ = 40516210560000. Its totient is φ = 3059989954560.

The previous prime is 12022043796611. The next prime is 12022043796727. The reversal of 12022043796672 is 27669734022021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1772897922 + ... + 1772904702.

It is an arithmetic number, because the mean of its divisors is an integer number (90437970000).

Almost surely, 212022043796672 is an apocalyptic number.

12022043796672 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 12022043796672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20258105280000).

12022043796672 is an abundant number, since it is smaller than the sum of its proper divisors (28494166763328).

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

12022043796672 is a wasteful number, since it uses less digits than its factorization.

12022043796672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10344 (or 10334 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 12022043796672 in words is "twelve trillion, twenty-two billion, forty-three million, seven hundred ninety-six thousand, six hundred seventy-two".