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212220012011112 = 23337311812425429
BaseRepresentation
bin110000010000001101010010…
…011011100001111001101000
31000211102000221112010100021000
4300100031102123201321220
5210304003041033323422
62031204305544315000
762462250506505000
oct6020152233417150
91024360845110230
10212220012011112
1161690002241506
121b9757b0772a60
139155351cbc611
143a59709415000
1519804e2273cac
hexc103526e1e68

212220012011112 has 256 divisors, whose sum is σ = 688045982400000. Its totient is φ = 60582922686720.

The previous prime is 212220012011099. The next prime is 212220012011221. The reversal of 212220012011112 is 211110210022212.

212220012011112 is a `hidden beast` number, since 212 + 220 + 0 + 120 + 1 + 1 + 112 = 666.

It is a super-2 number, since 2×2122200120111122 (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 86285214 + ... + 88710642.

It is an arithmetic number, because the mean of its divisors is an integer number (2687679618750).

Almost surely, 2212220012011112 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 212220012011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344022991200000).

212220012011112 is an abundant number, since it is smaller than the sum of its proper divisors (475825970388888).

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

212220012011112 is a wasteful number, since it uses less digits than its factorization.

212220012011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426646 (or 2426622 counting only the distinct ones).

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

Adding to 212220012011112 its reverse (211110210022212), we get a palindrome (423330222033324).

The spelling of 212220012011112 in words is "two hundred twelve trillion, two hundred twenty billion, twelve million, eleven thousand, one hundred twelve".