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12021400204000 = 255311505154091
BaseRepresentation
bin1010111011101111001101…
…0010011111001011100000
31120120020100001100002211121
42232323303102133023200
53033424311423012000
641322315514422024
72350342334521555
oct256736322371340
946506301302747
1012021400204000
11391527a021910
1214219b2731914
136927c81b7aa5
142d7ba5c2aa2c
1515ca86a71b1a
hexaeef349f2e0

12021400204000 has 192 divisors, whose sum is σ = 32228699053824. Its totient is φ = 4370472000000.

The previous prime is 12021400203997. The next prime is 12021400204027. The reversal of 12021400204000 is 40200412021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 222216955 + ... + 222271045.

It is an arithmetic number, because the mean of its divisors is an integer number (167857807572).

Almost surely, 212021400204000 is an apocalyptic number.

12021400204000 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 12021400204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16114349526912).

12021400204000 is an abundant number, since it is smaller than the sum of its proper divisors (20207298849824).

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

12021400204000 is a wasteful number, since it uses less digits than its factorization.

12021400204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59178 (or 59160 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12021400204000 its reverse (40200412021), we get a palindrome (12061600616021).

The spelling of 12021400204000 in words is "twelve trillion, twenty-one billion, four hundred million, two hundred four thousand".