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20012101111200 = 253521137197103997
BaseRepresentation
bin1001000110011011011100…
…01011011000110110100000
32121212010201201211122111110
410203031232023120312200
510110334240341024300
6110321233214543320
74133553343536312
oct443155613306640
977763651748443
1020012101111200
1164160a23a9a90
1222b2590207b40
13b2219638aa73
144d283b4797b2
1524a86242a550
hex12336e2d8da0

20012101111200 has 576 divisors, whose sum is σ = 73352894364288. Its totient is φ = 4696292966400.

The previous prime is 20012101111183. The next prime is 20012101111217. The reversal of 20012101111200 is 211110121002.

It is an interprime number because it is at equal distance from previous prime (20012101111183) and next prime (20012101111217).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192377602 + ... + 192481598.

It is an arithmetic number, because the mean of its divisors is an integer number (127348774938).

Almost surely, 220012101111200 is an apocalyptic number.

20012101111200 is a gapful number since it is divisible by the number (20) 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 20012101111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36676447182144).

20012101111200 is an abundant number, since it is smaller than the sum of its proper divisors (53340793253088).

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

20012101111200 is a wasteful number, since it uses less digits than its factorization.

20012101111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104265 (or 104252 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20012101111200 its reverse (211110121002), we get a palindrome (20223211232202).

The spelling of 20012101111200 in words is "twenty trillion, twelve billion, one hundred one million, one hundred eleven thousand, two hundred".