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21202122201120 = 25325719372992013
BaseRepresentation
bin1001101001000100000001…
…11101100101100000100000
32210001220101100110121021200
410310202000331211200200
510234333421240413440
6113032042004521200
74315542232106130
oct464420075454040
983056340417250
1021202122201120
116834851276253
1224651439b0200
13baa475460843
1453428c570ac0
1526b7b1021c30
hex134880f65820

21202122201120 has 576 divisors, whose sum is σ = 89392761319680. Its totient is φ = 4467049979904.

The previous prime is 21202122201119. The next prime is 21202122201149. The reversal of 21202122201120 is 2110222120212.

It is a happy number.

21202122201120 is a `hidden beast` number, since 2 + 120 + 212 + 220 + 112 + 0 = 666.

It is a super-3 number, since 3×212021222011203 (a number of 41 digits) contains 333 as substring.

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 = 21202122201093 and 21202122201102.

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, 5590234 + ... + 8582246.

It is an arithmetic number, because the mean of its divisors is an integer number (155195766180).

Almost surely, 221202122201120 is an apocalyptic number.

21202122201120 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 21202122201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44696380659840).

21202122201120 is an abundant number, since it is smaller than the sum of its proper divisors (68190639118560).

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

21202122201120 is a wasteful number, since it uses less digits than its factorization.

21202122201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992097 (or 2992086 counting only the distinct ones).

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

Adding to 21202122201120 its reverse (2110222120212), we get a palindrome (23312344321332).

The spelling of 21202122201120 in words is "twenty-one trillion, two hundred two billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".