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110122121122020 = 2232572414719933251
BaseRepresentation
bin11001000010011111001101…
…111010010101000011100100
3112102220120102221222120000100
4121002133031322111003210
5103413220101001401040
61030113223135144100
732124026551110300
oct3102371572250344
9472816387876010
10110122121122020
11320a759054a717
12104264a3675030
13495a618a606c7
141d29d20c70d00
15cae7e0a03b30
hex6427cde950e4

110122121122020 has 864 divisors, whose sum is σ = 406849434840576. Its totient is φ = 24014914560000.

The previous prime is 110122121122003. The next prime is 110122121122051. The reversal of 110122121122020 is 20221121221011.

110122121122020 is a `hidden beast` number, since 1 + 10 + 1 + 221 + 211 + 220 + 2 + 0 = 666.

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 = 110122121121984 and 110122121122002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33873305395 + ... + 33873308645.

It is an arithmetic number, because the mean of its divisors is an integer number (470890549584).

Almost surely, 2110122121122020 is an apocalyptic number.

110122121122020 is a gapful number since it is divisible by the number (10) 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 110122121122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203424717420288).

110122121122020 is an abundant number, since it is smaller than the sum of its proper divisors (296727313718556).

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

110122121122020 is a wasteful number, since it uses less digits than its factorization.

110122121122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361 (or 5349 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110122121122020 its reverse (20221121221011), we get a palindrome (130343242343031).

The spelling of 110122121122020 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-two thousand, twenty".