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212021022121002 = 23310155037064221
BaseRepresentation
bin110000001101010011111101…
…101101010101110000101010
31000210201000022120112120001000
4300031103331231111300222
5210242223023130333002
62030533040220335430
762442004402366533
oct6015237555256052
91023630276476030
10212021022121002
1161613679679876
121b9431173a4576
13913c65c03a203
143a4dc2d55368a
15197a24782b61c
hexc0d4fdb55c2a

212021022121002 has 64 divisors (see below), whose sum is σ = 475909289349120. Its totient is φ = 69961209192000.

The previous prime is 212021022120979. The next prime is 212021022121037. The reversal of 212021022121002 is 200121220120212.

It is a happy number.

212021022121002 is a `hidden beast` number, since 2 + 1 + 20 + 210 + 221 + 210 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26481252 + ... + 33545472.

It is an arithmetic number, because the mean of its divisors is an integer number (7436082646080).

Almost surely, 2212021022121002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021022121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237954644674560).

212021022121002 is an abundant number, since it is smaller than the sum of its proper divisors (263888267228118).

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

212021022121002 is a wasteful number, since it uses less digits than its factorization.

212021022121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069836 (or 7069830 counting only the distinct ones).

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

Adding to 212021022121002 its reverse (200121220120212), we get a palindrome (412142242241214).

The spelling of 212021022121002 in words is "two hundred twelve trillion, twenty-one billion, twenty-two million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 2727 5454 5503 11006 16509 33018 49527 99054 148581 297162 555803 1111606 1667409 3334818 5002227 7064221 10004454 14128442 15006681 21192663 30013362 42385326 63577989 127155978 190733967 381467934 713486321 1426972642 2140458963 4280917926 6421376889 12842753778 19264130667 38528261334 38874408163 77748816326 116623224489 233246448978 349869673467 699739346934 1049609020401 2099218040802 3926315224463 7852630448926 11778945673389 23557891346778 35336837020167 70673674040334 106010511060501 212021022121002