1125400248 has 288 divisors, whose sum is σ = 3791548800. Its totient is φ = 299811456.

The previous prime is 1125400247. The next prime is 1125400249. The reversal of 1125400248 is 8420045211.

1125400248 is a `hidden beast` number, since 1 + 12 + 5 + 400 + 248 = 666.

It is an interprime number because it is at equal distance from previous prime (1125400247) and next prime (1125400249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125400247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6904215 + ... + 6904377.

It is an arithmetic number, because the mean of its divisors is an integer number (13165100).

Almost surely, 2^1125400248 is an apocalyptic number.

1125400248 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 1125400248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895774400).

1125400248 is an abundant number, since it is smaller than the sum of its proper divisors (2666148552).

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

1125400248 is a wasteful number, since it uses less digits than its factorization.

1125400248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1125400248 is about 33546.9856768086. The cubic root of 1125400248 is about 1040.1652375520.

Adding to 1125400248 its reverse (8420045211), we get a palindrome (9545445459).

The spelling of 1125400248 in words is "one billion, one hundred twenty-five million, four hundred thousand, two hundred forty-eight".