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21202222212000 = 2532533133157397
BaseRepresentation
bin1001101001000100001101…
…11011000110001110100000
32210001220122022122200102100
410310202012323012032200
510234334122341241000
6113032055540250400
74315544555145054
oct464420673061640
983056568580370
1021202222212000
1168348a2774975
1224651713a0a00
13baa4900a928b
1453429b965c64
1526b7b9bc9a00
hex134886ec63a0

21202222212000 has 576 divisors, whose sum is σ = 77910021116928. Its totient is φ = 5454915840000.

The previous prime is 21202222211959. The next prime is 21202222212023. The reversal of 21202222212000 is 21222220212.

21202222212000 is a `hidden beast` number, since 2 + 1 + 20 + 222 + 221 + 200 + 0 = 666.

21202222212000 is digitally balanced in base 5, because in such base 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369367302 + ... + 369424698.

It is an arithmetic number, because the mean of its divisors is an integer number (135260453328).

Almost surely, 221202222212000 is an apocalyptic number.

21202222212000 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 21202222212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38955010558464).

21202222212000 is an abundant number, since it is smaller than the sum of its proper divisors (56707798904928).

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

21202222212000 is a wasteful number, since it uses less digits than its factorization.

21202222212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57790 (or 57769 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21202222212000 its reverse (21222220212), we get a palindrome (21223444432212).

The spelling of 21202222212000 in words is "twenty-one trillion, two hundred two billion, two hundred twenty-two million, two hundred twelve thousand".