126221256 has 192 divisors, whose sum is σ = 421200000. Its totient is φ = 34038144.

The previous prime is 126221219. The next prime is 126221257. The reversal of 126221256 is 652122621.

126221256 is a `hidden beast` number, since 12 + 622 + 1 + 25 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126221257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469090 + ... + 469358.

It is an arithmetic number, because the mean of its divisors is an integer number (2193750).

Almost surely, 2^126221256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126221256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210600000).

126221256 is an abundant number, since it is smaller than the sum of its proper divisors (294978744).

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

126221256 is a wasteful number, since it uses less digits than its factorization.

126221256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 126221256 is about 11234.8233630974. The cubic root of 126221256 is about 501.6230669398.

Adding to 126221256 its reverse (652122621), we get a palindrome (778343877).

The spelling of 126221256 in words is "one hundred twenty-six million, two hundred twenty-one thousand, two hundred fifty-six".