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12120342075936 = 2533731543124541
BaseRepresentation
bin1011000001011111110010…
…1011110001101000100000
31120220200201110220222021000
42300113330223301220200
53042034430032412221
641440001442232000
72360444242536603
oct260277453615040
946820643828230
1012120342075936
113953232141706
121439006055600
1369bc35717443
142dc8b052c33a
15160427e46e26
hexb05fcaf1a20

12120342075936 has 192 divisors, whose sum is σ = 35858770295040. Its totient is φ = 3982155540480.

The previous prime is 12120342075923. The next prime is 12120342075971. The reversal of 12120342075936 is 63957024302121.

It is a happy number.

12120342075936 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 34 + 20 + 7 + 593 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12120342075891 and 12120342075900.

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, 97257826 + ... + 97382366.

It is an arithmetic number, because the mean of its divisors is an integer number (186764428620).

Almost surely, 212120342075936 is an apocalyptic number.

12120342075936 is a gapful number since it is divisible by the number (16) 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 12120342075936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929385147520).

12120342075936 is an abundant number, since it is smaller than the sum of its proper divisors (23738428219104).

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

12120342075936 is a wasteful number, since it uses less digits than its factorization.

12120342075936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126176 (or 126162 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 12120342075936 in words is "twelve trillion, one hundred twenty billion, three hundred forty-two million, seventy-five thousand, nine hundred thirty-six".