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20122222101120 = 2732510343337759
BaseRepresentation
bin1001001001101000100011…
…11001101000001010000000
32122020122222020220112211200
410210310101321220022000
510114140302324213440
6110444004325541200
74144532264523126
oct444642171501200
978218866815750
1020122222101120
116458871877667
12230b9a3574800
13b2c69596a329
144d7cc6755916
1524d659e71c30
hex124d11e68280

20122222101120 has 192 divisors, whose sum is σ = 69491471961600. Its totient is φ = 5365391210496.

The previous prime is 20122222101083. The next prime is 20122222101133. The reversal of 20122222101120 is 2110122222102.

It is a happy number.

20122222101120 is a `hidden beast` number, since 201 + 2 + 222 + 210 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 20122222101093 and 20122222101102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59406801 + ... + 59744559.

It is an arithmetic number, because the mean of its divisors is an integer number (361934749800).

Almost surely, 220122222101120 is an apocalyptic number.

20122222101120 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 20122222101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34745735980800).

20122222101120 is an abundant number, since it is smaller than the sum of its proper divisors (49369249860480).

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

20122222101120 is a wasteful number, since it uses less digits than its factorization.

20122222101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348127 (or 348112 counting only the distinct ones).

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

Adding to 20122222101120 its reverse (2110122222102), we get a palindrome (22232344323222).

The spelling of 20122222101120 in words is "twenty trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".