12211290 has 192 divisors, whose sum is σ = 41368320. Its totient is φ = 2540160.

The previous prime is 12211279. The next prime is 12211307. The reversal of 12211290 is 9211221.

12211290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 171955 + ... + 172025.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 2^12211290 is an apocalyptic number.

12211290 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 12211290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

12211290 is an abundant number, since it is smaller than the sum of its proper divisors (29157030).

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

12211290 is a wasteful number, since it uses less digits than its factorization.

12211290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 12211290 is about 3494.4656243838. The cubic root of 12211290 is about 230.2787420751.

The spelling of 12211290 in words is "twelve million, two hundred eleven thousand, two hundred ninety".