12122760 has 128 divisors (see below), whose sum is σ = 41328000. Its totient is φ = 2820096.

The previous prime is 12122723. The next prime is 12122807. The reversal of 12122760 is 6722121.

12122760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12122760² = 293922620035200, which contains 22 as substring.

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, 29436 + ... + 29844.

It is an arithmetic number, because the mean of its divisors is an integer number (322875).

Almost surely, 2^12122760 is an apocalyptic number.

12122760 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 12122760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20664000).

12122760 is an abundant number, since it is smaller than the sum of its proper divisors (29205240).

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

12122760 is a wasteful number, since it uses less digits than its factorization.

12122760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12122760 is about 3481.7754091842. The cubic root of 12122760 is about 229.7208964813.

Adding to 12122760 its reverse (6722121), we get a palindrome (18844881).

The spelling of 12122760 in words is "twelve million, one hundred twenty-two thousand, seven hundred sixty".