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212012102212020 = 22325114115231714793
BaseRepresentation
bin110000001101001011101010…
…000010100101100110110100
31000210200011021221011020020200
4300031023222002211212310
5210242101241131241040
62030525003140000500
762441240351411145
oct6015135202454664
91023604257136220
10212012102212020
116160a911611170
121b941448090130
13913b86a04c866
143a4d624a29acc
151979dc46c0630
hexc0d2ea0a59b4

212012102212020 has 288 divisors, whose sum is σ = 719151021074304. Its totient is φ = 50110337740800.

The previous prime is 212012102211967. The next prime is 212012102212021. The reversal of 212012102212020 is 20212201210212.

It is a happy number.

212012102212020 is a `hidden beast` number, since 2 + 120 + 121 + 0 + 221 + 202 + 0 = 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 = 212012102211984 and 212012102212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012102212021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122779744 + ... + 124494536.

It is an arithmetic number, because the mean of its divisors is an integer number (2497052156508).

Almost surely, 2212012102212020 is an apocalyptic number.

212012102212020 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 212012102212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359575510537152).

212012102212020 is an abundant number, since it is smaller than the sum of its proper divisors (507138918862284).

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

212012102212020 is a wasteful number, since it uses less digits than its factorization.

212012102212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716383 (or 1716378 counting only the distinct ones).

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

Adding to 212012102212020 its reverse (20212201210212), we get a palindrome (232224303422232).

The spelling of 212012102212020 in words is "two hundred twelve trillion, twelve billion, one hundred two million, two hundred twelve thousand, twenty".