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12110113200000 = 2735517593633
BaseRepresentation
bin1011000000111001101011…
…1111101101011110000000
31120212201022121111020101010
42300032122333231132000
53041403002434400000
641431150442040520
72356632615533064
oct260163277553600
946781277436333
1012110113200000
113949963211832
1214370304a9140
1369ac954a252a
142dc1bdc2baa4
15160029e28d50
hexb039afed780

12110113200000 has 384 divisors, whose sum is σ = 42571963657440. Its totient is φ = 3039395840000.

The previous prime is 12110113199981. The next prime is 12110113200023. The reversal of 12110113200000 is 231101121.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20103184 + ... + 20696816.

Almost surely, 212110113200000 is an apocalyptic number.

12110113200000 is a gapful number since it is divisible by the number (10) 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 12110113200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21285981828720).

12110113200000 is an abundant number, since it is smaller than the sum of its proper divisors (30461850457440).

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

12110113200000 is an frugal number, since it uses more digits than its factorization.

12110113200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593692 (or 593660 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12110113200000 its reverse (231101121), we get a palindrome (12110344301121).

The spelling of 12110113200000 in words is "twelve trillion, one hundred ten billion, one hundred thirteen million, two hundred thousand".