1256222000 has 240 divisors, whose sum is σ = 3473215200. Its totient is φ = 438592000.

The previous prime is 1256221991. The next prime is 1256222053. The reversal of 1256222000 is 2226521.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7017911 + ... + 7018089.

It is an arithmetic number, because the mean of its divisors is an integer number (14471730).

Almost surely, 2^1256222000 is an apocalyptic number.

1256222000 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 1256222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736607600).

1256222000 is an abundant number, since it is smaller than the sum of its proper divisors (2216993200).

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

1256222000 is a wasteful number, since it uses less digits than its factorization.

1256222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1256222000 is about 35443.2222011487. Note that the first 4 decimals coincide. The cubic root of 1256222000 is about 1079.0017066886.

Adding to 1256222000 its reverse (2226521), we get a palindrome (1258448521).

The spelling of 1256222000 in words is "one billion, two hundred fifty-six million, two hundred twenty-two thousand".