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110122001220000 = 25354721131109843
BaseRepresentation
bin11001000010011111000110…
…110000111100000110100000
3112102220120010121100220100210
4121002133012300330012200
5103413214324303020000
61030113203213214120
732124023564004600
oct3102370660740640
9472816117326323
10110122001220000
11320a75298a5540
121042646b491340
13495a5c9c6c273
141d29d0cd7cc00
15cae7d521c350
hex6427c6c3c1a0

110122001220000 has 1440 divisors, whose sum is σ = 473188296075264. Its totient is φ = 22144147200000.

The previous prime is 110122001219987. The next prime is 110122001220001. The reversal of 110122001220000 is 22100221011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110122001220001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1002485079 + ... + 1002594921.

Almost surely, 2110122001220000 is an apocalyptic number.

110122001220000 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 110122001220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236594148037632).

110122001220000 is an abundant number, since it is smaller than the sum of its proper divisors (363066294855264).

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

110122001220000 is a wasteful number, since it uses less digits than its factorization.

110122001220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109932 (or 109902 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110122001220000 its reverse (22100221011), we get a palindrome (110144101441011).

The spelling of 110122001220000 in words is "one hundred ten trillion, one hundred twenty-two billion, one million, two hundred twenty thousand".