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212201231220 = 223351183430411
BaseRepresentation
bin1100010110100000101…
…1011101001101110100
3202021201200001110012000
43011220023131031310
511434042003344340
6241252304455300
721221354463456
oct3055013351564
9667650043160
10212201231220
1181aa3076870
123516191a530
131701a07c514
14a3b07222d6
1557be6e3d30
hex31682dd374

212201231220 has 192 divisors, whose sum is σ = 728876897280. Its totient is φ = 50822812800.

The previous prime is 212201231159. The next prime is 212201231261. The reversal of 212201231220 is 22132102212.

212201231220 is a `hidden beast` number, since 2 + 12 + 201 + 231 + 220 = 666.

212201231220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 212201231193 and 212201231202.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 277815 + ... + 708225.

It is an arithmetic number, because the mean of its divisors is an integer number (3796233840).

Almost surely, 2212201231220 is an apocalyptic number.

212201231220 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 212201231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364438448640).

212201231220 is an abundant number, since it is smaller than the sum of its proper divisors (516675666060).

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

212201231220 is a wasteful number, since it uses less digits than its factorization.

212201231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430523 (or 430515 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212201231220 its reverse (22132102212), we get a palindrome (234333333432).

The spelling of 212201231220 in words is "two hundred twelve billion, two hundred one million, two hundred thirty-one thousand, two hundred twenty".