1261120248 has 96 divisors (see below), whose sum is σ = 3624004800. Its totient is φ = 394819584.

The previous prime is 1261120229. The next prime is 1261120249. The reversal of 1261120248 is 8420211621.

1261120248 is a `hidden beast` number, since 1 + 2 + 611 + 2 + 0 + 2 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261120249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 879340 + ... + 880772.

It is an arithmetic number, because the mean of its divisors is an integer number (37750050).

Almost surely, 2^1261120248 is an apocalyptic number.

1261120248 is a gapful number since it is divisible by the number (18) 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 1261120248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812002400).

1261120248 is an abundant number, since it is smaller than the sum of its proper divisors (2362884552).

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

1261120248 is a wasteful number, since it uses less digits than its factorization.

1261120248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1261120248 is about 35512.2548988374. The cubic root of 1261120248 is about 1080.4022986853.

Adding to 1261120248 its reverse (8420211621), we get a palindrome (9681331869).

The spelling of 1261120248 in words is "one billion, two hundred sixty-one million, one hundred twenty thousand, two hundred forty-eight".