12292140 has 144 divisors (see below), whose sum is σ = 41483232. Its totient is φ = 2709504.

The previous prime is 12292127. The next prime is 12292141. The reversal of 12292140 is 4129221.

12292140 = T₄₇₇ + T₄₇₈ + ... + T₅₆₆.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12292141) 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 47 ways as a sum of consecutive naturals, for example, 108724 + ... + 108836.

It is an arithmetic number, because the mean of its divisors is an integer number (288078).

Almost surely, 2^12292140 is an apocalyptic number.

12292140 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 12292140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20741616).

12292140 is an abundant number, since it is smaller than the sum of its proper divisors (29191092).

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

12292140 is a wasteful number, since it uses less digits than its factorization.

12292140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12292140 is about 3506.0148316857. The cubic root of 12292140 is about 230.7858437613.

The spelling of 12292140 in words is "twelve million, two hundred ninety-two thousand, one hundred forty".