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12011101200020 = 225133113191112487
BaseRepresentation
bin1010111011001000110101…
…1010111001111010010100
31120112020202021221111100202
42232302031122321322110
53033242213401400040
641313453531200032
72346526166446106
oct256621532717224
946466667844322
1012011101200020
11391097455377a
12141b9b95a6018
1369184658acb0
142d74aa0b3576
1515c682800015
hexaec8d6b9e94

12011101200020 has 192 divisors, whose sum is σ = 28287135055872. Its totient is φ = 4254030144000.

The previous prime is 12011101200017. The next prime is 12011101200073. The reversal of 12011101200020 is 2000210111021.

It is a junction number, because it is equal to n+sod(n) for n = 12011101199974 and 12011101200010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 961882217 + ... + 961894703.

It is an arithmetic number, because the mean of its divisors is an integer number (147328828416).

Almost surely, 212011101200020 is an apocalyptic number.

12011101200020 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 12011101200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14143567527936).

12011101200020 is an abundant number, since it is smaller than the sum of its proper divisors (16276033855852).

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

12011101200020 is a wasteful number, since it uses less digits than its factorization.

12011101200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13582 (or 13580 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12011101200020 its reverse (2000210111021), we get a palindrome (14011311311041).

The spelling of 12011101200020 in words is "twelve trillion, eleven billion, one hundred one million, two hundred thousand, twenty".