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12000021020020 = 225115929312792467
BaseRepresentation
bin1010111010011111100011…
…1111010111110101110100
31120111012011002122000211201
42232213320333113311310
53033102020340120040
641304422240342244
72345654464460245
oct256477077276564
946435132560751
1012000021020020
1139071a9031520
121419826914984
1369079bb6c377
142d6b386d0ccc
1515c234bc3a9a
hexae9f8fd7d74

12000021020020 has 192 divisors, whose sum is σ = 28085634662400. Its totient is φ = 4269969354240.

The previous prime is 12000021019957. The next prime is 12000021020047. The reversal of 12000021020020 is 2002012000021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12000021019979 and 12000021020006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4864214827 + ... + 4864217293.

It is an arithmetic number, because the mean of its divisors is an integer number (146279347200).

Almost surely, 212000021020020 is an apocalyptic number.

12000021020020 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 12000021020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14042817331200).

12000021020020 is an abundant number, since it is smaller than the sum of its proper divisors (16085613642380).

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

12000021020020 is a wasteful number, since it uses less digits than its factorization.

12000021020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12000021020020 its reverse (2002012000021), we get a palindrome (14002033020041).

The spelling of 12000021020020 in words is "twelve trillion, twenty-one million, twenty thousand, twenty".