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212212220222112 = 253111091905920333
BaseRepresentation
bin110000010000000110000010…
…000000001101101010100000
31000211101021211111111110011020
4300100012002000031222200
5210303341111334101422
62031200540443245440
762461553434420665
oct6020060200155240
91024337744443136
10212212220222112
1161687773a55070
121b974197219880
1391546ac949c96
143a591aa669a6c
1519801d81a595c
hexc1018200daa0

212212220222112 has 192 divisors, whose sum is σ = 608352703096320. Its totient is φ = 64237538892800.

The previous prime is 212212220222077. The next prime is 212212220222129. The reversal of 212212220222112 is 211222022212212.

It is a happy number.

It is a super-2 number, since 2×2122122202221122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10436827498 + ... + 10436847830.

It is an arithmetic number, because the mean of its divisors is an integer number (3168503661960).

Almost surely, 2212212220222112 is an apocalyptic number.

212212220222112 is a gapful number since it is divisible by the number (22) 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 212212220222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304176351548160).

212212220222112 is an abundant number, since it is smaller than the sum of its proper divisors (396140482874208).

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

212212220222112 is a wasteful number, since it uses less digits than its factorization.

212212220222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30507 (or 30499 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 212212220222112 its reverse (211222022212212), we get a palindrome (423434242434324).

The spelling of 212212220222112 in words is "two hundred twelve trillion, two hundred twelve billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twelve".