1241128800 has 216 divisors, whose sum is σ = 4401843264. Its totient is φ = 329057280.

The previous prime is 1241128787. The next prime is 1241128813. The reversal of 1241128800 is 88211421.

1241128800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1241128787) and next prime (1241128813).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1605214 + ... + 1605986.

It is an arithmetic number, because the mean of its divisors is an integer number (20378904).

Almost surely, 2^1241128800 is an apocalyptic number.

1241128800 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 1241128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200921632).

1241128800 is an abundant number, since it is smaller than the sum of its proper divisors (3160714464).

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

1241128800 is a wasteful number, since it uses less digits than its factorization.

1241128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1241128800 is about 35229.6579603038. The cubic root of 1241128800 is about 1074.6629698829.

The spelling of 1241128800 in words is "one billion, two hundred forty-one million, one hundred twenty-eight thousand, eight hundred".