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12040240412000 = 2553173122392551
BaseRepresentation
bin1010111100110101011001…
…0000001011010101100000
31120122000222001111211120002
42233031112100023111200
53034231403021141000
641335113213435132
72351610244612643
oct257152620132540
946560861454502
1012040240412000
113922267907a49
12142559019baa8
1369450b508668
142d8a7208ba5a
1515d2daa958d5
hexaf35640b560

12040240412000 has 384 divisors, whose sum is σ = 32360581693440. Its totient is φ = 4382899200000.

The previous prime is 12040240411993. The next prime is 12040240412003. The reversal of 12040240412000 is 21404204021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12040240412003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4719810725 + ... + 4719813275.

It is an arithmetic number, because the mean of its divisors is an integer number (84272348160).

Almost surely, 212040240412000 is an apocalyptic number.

12040240412000 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 12040240412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16180290846720).

12040240412000 is an abundant number, since it is smaller than the sum of its proper divisors (20320341281440).

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

12040240412000 is a wasteful number, since it uses less digits than its factorization.

12040240412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4863 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12040240412000 its reverse (21404204021), we get a palindrome (12061644616021).

The spelling of 12040240412000 in words is "twelve trillion, forty billion, two hundred forty million, four hundred twelve thousand".