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21220122211120 = 2457617152316729
BaseRepresentation
bin1001101001100101100011…
…10110001011001100110000
32210010121211210122212000201
410310302301312023030300
510240132302241223440
6113044220051324544
74320050260502320
oct464626166131460
983117753585021
1021220122211120
116841448865178
122468727bb0754
13bac083695831
145350b8da1280
1526beb63cd19a
hex134cb1d8b330

21220122211120 has 320 divisors, whose sum is σ = 58231012976640. Its totient is φ = 7041497702400.

The previous prime is 21220122211111. The next prime is 21220122211177. The reversal of 21220122211120 is 2111222102212.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1268454916 + ... + 1268471644.

It is an arithmetic number, because the mean of its divisors is an integer number (181971915552).

Almost surely, 221220122211120 is an apocalyptic number.

21220122211120 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 21220122211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29115506488320).

21220122211120 is an abundant number, since it is smaller than the sum of its proper divisors (37010890765520).

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

21220122211120 is a wasteful number, since it uses less digits than its factorization.

21220122211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17404 (or 17398 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 21220122211120 its reverse (2111222102212), we get a palindrome (23331344313332).

The spelling of 21220122211120 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".