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212101021212120 = 233253741433896947
BaseRepresentation
bin110000001110011110011110…
…000001101001110111011000
31000210222122210211221110021200
4300032132132001221313120
5210300030342412241440
62031033510342434200
762450536013424405
oct6016363601516730
91023878724843250
10212101021212120
11616445a1015007
121b956722a32960
13914706ac14411
143a53a5c1332ac
15197c37abbac30
hexc0e79e069dd8

212101021212120 has 384 divisors, whose sum is σ = 726901799682240. Its totient is φ = 53565328097280.

The previous prime is 212101021212109. The next prime is 212101021212211. The reversal of 212101021212120 is 21212120101212.

212101021212120 is a `hidden beast` number, since 21 + 210 + 10 + 212 + 1 + 212 + 0 = 666.

212101021212120 is digitally balanced in base 2 and base 4, because in such bases 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 = 212101021212093 and 212101021212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236021487 + ... + 236918433.

Almost surely, 2212101021212120 is an apocalyptic number.

212101021212120 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 212101021212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363450899841120).

212101021212120 is an abundant number, since it is smaller than the sum of its proper divisors (514800778470120).

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

212101021212120 is a wasteful number, since it uses less digits than its factorization.

212101021212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897475 (or 897468 counting only the distinct ones).

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

Adding to 212101021212120 its reverse (21212120101212), we get a palindrome (233313141313332).

The spelling of 212101021212120 in words is "two hundred twelve trillion, one hundred one billion, twenty-one million, two hundred twelve thousand, one hundred twenty".