1241150320800 has 576 divisors, whose sum is σ = 5118501144960. Its totient is φ = 287541411840.

The previous prime is 1241150320777. The next prime is 1241150320801. The reversal of 1241150320800 is 80230511421.

1241150320800 is a `hidden beast` number, since 124 + 11 + 503 + 20 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1241150320801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4643599 + ... + 4903601.

It is an arithmetic number, because the mean of its divisors is an integer number (8886286710).

Almost surely, 2^{1241150320800} is an apocalyptic number.

1241150320800 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 1241150320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559250572480).

1241150320800 is an abundant number, since it is smaller than the sum of its proper divisors (3877350824160).

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

1241150320800 is a wasteful number, since it uses less digits than its factorization.

1241150320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260062 (or 260043 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 1241150320800 in words is "one trillion, two hundred forty-one billion, one hundred fifty million, three hundred twenty thousand, eight hundred".