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12000211201020 = 22357372014738329
BaseRepresentation
bin1010111010100000010001…
…0100110110101111111100
31120111012122100111020010110
42232220010110312233330
53033102413031413040
641304453152510020
72345662264130640
oct256500424665774
946435570436113
1012000211201020
1139072964182a9
12141987a54b310
136907cc3992c3
142d6b55a78c20
1515c24673d980
hexaea04536bfc

12000211201020 has 192 divisors, whose sum is σ = 39441518484480. Its totient is φ = 2668570748928.

The previous prime is 12000211201003. The next prime is 12000211201021. The reversal of 12000211201020 is 2010211200021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12000211200987 and 12000211201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000211201021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 313065216 + ... + 313103544.

It is an arithmetic number, because the mean of its divisors is an integer number (205424575440).

Almost surely, 212000211201020 is an apocalyptic number.

12000211201020 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 12000211201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19720759242240).

12000211201020 is an abundant number, since it is smaller than the sum of its proper divisors (27441307283460).

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

12000211201020 is a wasteful number, since it uses less digits than its factorization.

12000211201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58532 (or 58530 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000211201020 its reverse (2010211200021), we get a palindrome (14010422401041).

Subtracting from 12000211201020 its reverse (2010211200021), we obtain a palindrome (9990000000999).

The spelling of 12000211201020 in words is "twelve trillion, two hundred eleven million, two hundred one thousand, twenty".