1011224256 has 112 divisors (see below), whose sum is σ = 3190792704. Its totient is φ = 276350976.

The previous prime is 1011224219. The next prime is 1011224257. The reversal of 1011224256 is 6524221101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1011224257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14556 + ... + 47268.

Almost surely, 2^1011224256 is an apocalyptic number.

1011224256 is a gapful number since it is divisible by the number (16) 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 1011224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595396352).

1011224256 is an abundant number, since it is smaller than the sum of its proper divisors (2179568448).

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

1011224256 is a wasteful number, since it uses less digits than its factorization.

1011224256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32758 (or 32748 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1011224256 is about 31799.7524518667. The cubic root of 1011224256 is about 1003.7275070938.

Adding to 1011224256 its reverse (6524221101), we get a palindrome (7535445357).

The spelling of 1011224256 in words is "one billion, eleven million, two hundred twenty-four thousand, two hundred fifty-six".