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12010111000020 = 22325767181786001
BaseRepresentation
bin1010111011000101001001…
…1001100101110111010100
31120112011012021201010022200
42232301102121211313110
53033233201404000040
641313211355524500
72346462514052460
oct256612231456724
946464167633280
1012010111000020
113910506613871
12141b781a59730
136917193a2633
142d74147974a0
1515c625907630
hexaec52665dd4

12010111000020 has 288 divisors, whose sum is σ = 42489985364736. Its totient is φ = 2689251840000.

The previous prime is 12010110999977. The next prime is 12010111000099. The reversal of 12010111000020 is 2000011101021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12010110999966 and 12010111000011.

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 95 ways as a sum of consecutive naturals, for example, 14887020 + ... + 15673020.

Almost surely, 212010111000020 is an apocalyptic number.

12010111000020 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 12010111000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244992682368).

12010111000020 is an abundant number, since it is smaller than the sum of its proper divisors (30479874364716).

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

12010111000020 is a wasteful number, since it uses less digits than its factorization.

12010111000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786271 (or 786266 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12010111000020 its reverse (2000011101021), we get a palindrome (14010122101041).

The spelling of 12010111000020 in words is "twelve trillion, ten billion, one hundred eleven million, twenty", and thus it is an aban number.