12120090 has 64 divisors (see below), whose sum is σ = 30533760. Its totient is φ = 3075840.

The previous prime is 12120089. The next prime is 12120091. The reversal of 12120090 is 9002121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12120089) and next prime (12120091).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12120091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67621 + ... + 67799.

It is an arithmetic number, because the mean of its divisors is an integer number (477090).

Almost surely, 2^12120090 is an apocalyptic number.

12120090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880).

12120090 is an abundant number, since it is smaller than the sum of its proper divisors (18413670).

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

12120090 is a wasteful number, since it uses less digits than its factorization.

12120090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 12120090 is about 3481.3919629941. The cubic root of 12120090 is about 229.7040301399.

The spelling of 12120090 in words is "twelve million, one hundred twenty thousand, ninety".