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110121020222112 = 25326110168639043
BaseRepresentation
bin11001000010011110001100…
…010010101110101010100000
3112102220110121020110001020200
4121002132030102232222200
5103413210322134101422
61030112522011105200
732123660352445464
oct3102361422565240
9472813536401220
10110121020222112
11320a7076080289
1210426236a42200
13495a4a1956243
141d29c5897a4a4
15cae7790412ac
hex64278c4aeaa0

110121020222112 has 288 divisors, whose sum is σ = 321524144637696. Its totient is φ = 35738613504000.

The previous prime is 110121020222053. The next prime is 110121020222159. The reversal of 110121020222112 is 211222020121011.

110121020222112 is a `hidden beast` number, since 1 + 101 + 210 + 20 + 222 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1101210202221123 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12177483063 + ... + 12177492105.

It is an arithmetic number, because the mean of its divisors is an integer number (1116403279992).

Almost surely, 2110121020222112 is an apocalyptic number.

110121020222112 is a gapful number since it is divisible by the number (12) 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 110121020222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160762072318848).

110121020222112 is an abundant number, since it is smaller than the sum of its proper divisors (211403124415584).

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

110121020222112 is a wasteful number, since it uses less digits than its factorization.

110121020222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16084 (or 16073 counting only the distinct ones).

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

Adding to 110121020222112 its reverse (211222020121011), we get a palindrome (321343040343123).

The spelling of 110121020222112 in words is "one hundred ten trillion, one hundred twenty-one billion, twenty million, two hundred twenty-two thousand, one hundred twelve".