126294220 has 48 divisors (see below), whose sum is σ = 290495520. Its totient is φ = 45835776.

The previous prime is 126294191. The next prime is 126294229. The reversal of 126294220 is 22492621.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (126294229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11224 + ... + 19456.

It is an arithmetic number, because the mean of its divisors is an integer number (6051990).

Almost surely, 2^126294220 is an apocalyptic number.

126294220 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 126294220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145247760).

126294220 is an abundant number, since it is smaller than the sum of its proper divisors (164201300).

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

126294220 is a wasteful number, since it uses less digits than its factorization.

126294220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314 (or 8312 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 126294220 is about 11238.0701190195. The cubic root of 126294220 is about 501.7197051142.

The spelling of 126294220 in words is "one hundred twenty-six million, two hundred ninety-four thousand, two hundred twenty".