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110221022000012 = 2271118111083178393
BaseRepresentation
bin11001000011111011010100…
…110111001111001110001100
3112110021000201112102201022112
4121003323110313033032030
5103421330123113000022
61030230501040203152
732134130450520410
oct3103732467171614
9473230645381275
10110221022000012
1132135522510120
12104416a53094b8
134966a4a938ca1
141d30a23d40d40
15cb217d4cc8e2
hex643ed4dcf38c

110221022000012 has 96 divisors (see below), whose sum is σ = 241834034717184. Its totient is φ = 42701907110400.

The previous prime is 110221022000003. The next prime is 110221022000029. The reversal of 110221022000012 is 210000220122011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617765888 + ... + 617944280.

It is an arithmetic number, because the mean of its divisors is an integer number (2519104528304).

Almost surely, 2110221022000012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110221022000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120917017358592).

110221022000012 is an abundant number, since it is smaller than the sum of its proper divisors (131613012717172).

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

110221022000012 is a wasteful number, since it uses less digits than its factorization.

110221022000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189679 (or 189677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110221022000012 its reverse (210000220122011), we get a palindrome (320221242122023).

The spelling of 110221022000012 in words is "one hundred ten trillion, two hundred twenty-one billion, twenty-two million, twelve", and thus it is an aban number.

Divisors: 1 2 4 7 11 14 22 28 44 77 154 181 308 362 724 1267 1991 2534 3982 5068 7964 11083 13937 22166 27874 44332 55748 77581 121913 155162 178393 243826 310324 356786 487652 713572 853391 1248751 1706782 1962323 2006023 2497502 3413564 3924646 4012046 4995004 7849292 8024092 13736261 14042161 22066253 27472522 28084322 32289133 44132506 54945044 56168644 64578266 88265012 129156532 154463771 226023931 308927542 355180463 452047862 617855084 710360926 904095724 1420721852 1977129619 2486263241 3954259238 4972526482 7908518476 9945052964 13839907333 21748425809 27679814666 43496851618 55359629332 86993703236 152238980663 304477961326 357860461039 608955922652 715720922078 1431441844156 2505023227273 3936465071429 5010046454546 7872930142858 10020092909092 15745860285716 27555255500003 55110511000006 110221022000012