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BaseRepresentation
bin101110001010…
…011000000000
3211202210121122
4232022120000
511044213440
61111211412
7204600143
oct56123000
924683548
1012101120
116915829
124076b68
132679035
14187005a
1510e07b5
hexb8a600

12101120 has 80 divisors (see below), whose sum is σ = 30198960. Its totient is φ = 4644864.

The previous prime is 12101099. The next prime is 12101123. The reversal of 12101120 is 2110121.

Adding to 12101120 its reverse (2110121), we get a palindrome (14211241).

Subtracting from 12101120 its reverse (2110121), we obtain a palindrome (9990999).

It can be divided in two parts, 12101 and 120, that added together give a palindrome (12221).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 12101098 and 12101107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74159 + ... + 74321.

It is an arithmetic number, because the mean of its divisors is an integer number (377487).

Almost surely, 212101120 is an apocalyptic number.

12101120 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 12101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099480).

12101120 is an abundant number, since it is smaller than the sum of its proper divisors (18097840).

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

12101120 is an equidigital number, since it uses as much as digits as its factorization.

12101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 12101120 is about 3478.6664111409. Note that the first 3 decimals coincide. The cubic root of 12101120 is about 229.5841256168.

The spelling of 12101120 in words is "twelve million, one hundred one thousand, one hundred twenty".