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212220210110112 = 253610338806613
BaseRepresentation
bin110000010000001101011110…
…001111001101111010100000
31000211102001110022212211000000
4300100031132033031322200
5210304003442242010422
62031204341342300000
762462255433354051
oct6020153617157240
91024361408784000
10212220210110112
11616900a4046196
121b975846b87600
13915538405c569
143a59727860728
151980504854cac
hexc1035e3cdea0

212220210110112 has 168 divisors, whose sum is σ = 627032730962484. Its totient is φ = 70671581789184.

The previous prime is 212220210110101. The next prime is 212220210110147. The reversal of 212220210110112 is 211011012022212.

212220210110112 is a `hidden beast` number, since 2 + 12 + 220 + 210 + 110 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 189098691731856 + 23121518378256 = 13751316^2 + 4808484^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19694518 + ... + 28501130.

Almost surely, 2212220210110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212220210110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313516365481242).

212220210110112 is an abundant number, since it is smaller than the sum of its proper divisors (414812520852372).

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

212220210110112 is an equidigital number, since it uses as much as digits as its factorization.

212220210110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8807674 (or 8807651 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212220210110112 its reverse (211011012022212), we get a palindrome (423231222132324).

The spelling of 212220210110112 in words is "two hundred twelve trillion, two hundred twenty billion, two hundred ten million, one hundred ten thousand, one hundred twelve".