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212012221021020 = 22345783998322669
BaseRepresentation
bin110000001101001011110001…
…000111110011101101011100
31000210200011121012201100120000
4300031023301013303231130
5210242102012040133040
62030525023022254300
762441243323312110
oct6015136107635534
91023604535640500
10212012221021020
116160a97268a122
121b94147ba27390
13913b88884a644
143a4d636715740
151979dced3d130
hexc0d2f11f3b5c

212012221021020 has 480 divisors, whose sum is σ = 761816811571200. Its totient is φ = 48350804829696.

The previous prime is 212012221021009. The next prime is 212012221021039. The reversal of 212012221021020 is 20120122210212.

It is a happy number.

212012221021020 is a `hidden beast` number, since 2 + 1 + 201 + 22 + 210 + 210 + 20 = 666.

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 = 212012221020984 and 212012221021002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9352506246 + ... + 9352528914.

It is an arithmetic number, because the mean of its divisors is an integer number (1587118357440).

Almost surely, 2212012221021020 is an apocalyptic number.

212012221021020 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 212012221021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380908405785600).

212012221021020 is an abundant number, since it is smaller than the sum of its proper divisors (549804590550180).

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

212012221021020 is a wasteful number, since it uses less digits than its factorization.

212012221021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24519 (or 24508 counting only the distinct ones).

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

Adding to 212012221021020 its reverse (20120122210212), we get a palindrome (232132343231232).

The spelling of 212012221021020 in words is "two hundred twelve trillion, twelve billion, two hundred twenty-one million, twenty-one thousand, twenty".