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212212200200112 = 243272232521374483
BaseRepresentation
bin110000010000000110000000…
…110011110101011110110000
31000211101021210002211020010200
4300100012000303311132300
5210303341041222400422
62031200534450155200
762461553102300550
oct6020060063653660
91024337702736120
10212212200200112
116168776371a262
121b974190582b00
1391546a8759848
143a591a7b37160
1519801d654d2ac
hexc10180cf57b0

212212200200112 has 240 divisors, whose sum is σ = 682058146818048. Its totient is φ = 60336060503040.

The previous prime is 212212200200057. The next prime is 212212200200123. The reversal of 212212200200112 is 211002002212212.

It is a happy number.

212212200200112 is a `hidden beast` number, since 21 + 221 + 220 + 0 + 200 + 1 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566493223 + ... + 566867705.

Almost surely, 2212212200200112 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 212212200200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341029073409024).

212212200200112 is an abundant number, since it is smaller than the sum of its proper divisors (469845946617936).

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

212212200200112 is a wasteful number, since it uses less digits than its factorization.

212212200200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377248 (or 377239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212212200200112 its reverse (211002002212212), we get a palindrome (423214202412324).

The spelling of 212212200200112 in words is "two hundred twelve trillion, two hundred twelve billion, two hundred million, two hundred thousand, one hundred twelve".