1121252256 has 144 divisors (see below), whose sum is σ = 3287760840. Its totient is φ = 362250240.

The previous prime is 1121252233. The next prime is 1121252287. The reversal of 1121252256 is 6522521211.

It can be written as a sum of positive squares in 4 ways, for example, as 342842256 + 778410000 = 18516^2 + 27900^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3176176 + ... + 3176528.

Almost surely, 2^1121252256 is an apocalyptic number.

1121252256 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 1121252256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643880420).

1121252256 is an abundant number, since it is smaller than the sum of its proper divisors (2166508584).

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

1121252256 is a wasteful number, since it uses less digits than its factorization.

1121252256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 668 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 1121252256 is about 33485.1049871432. The cubic root of 1121252256 is about 1038.8857197756.

Adding to 1121252256 its reverse (6522521211), we get a palindrome (7643773467).

The spelling of 1121252256 in words is "one billion, one hundred twenty-one million, two hundred fifty-two thousand, two hundred fifty-six".