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211020121212120 = 2332511493710793581
BaseRepresentation
bin101111111110101111110011…
…010111011000010011011000
31000200011022211001220012220100
4233332233303113120103120
5210124323202012241440
62024445145544255400
762306462215135143
oct5776576327302330
91020138731805810
10211020121212120
1161268149160790
121b801143771560
13909915c21a3bc
143a175dd5d505a
15195e1b6e59230
hexbfebf35d84d8

211020121212120 has 192 divisors, whose sum is σ = 748313859140640. Its totient is φ = 51146026444800.

The previous prime is 211020121212023. The next prime is 211020121212137. The reversal of 211020121212120 is 21212121020112.

211020121212120 is a `hidden beast` number, since 2 + 110 + 201 + 21 + 212 + 120 = 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 = 211020121212093 and 211020121212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14153730 + ... + 24947310.

Almost surely, 2211020121212120 is an apocalyptic number.

211020121212120 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 211020121212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374156929570320).

211020121212120 is an abundant number, since it is smaller than the sum of its proper divisors (537293737928520).

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

211020121212120 is a wasteful number, since it uses less digits than its factorization.

211020121212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10798546 (or 10798539 counting only the distinct ones).

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

Adding to 211020121212120 its reverse (21212121020112), we get a palindrome (232232242232232).

The spelling of 211020121212120 in words is "two hundred eleven trillion, twenty billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".