1241982720 has 504 divisors, whose sum is σ = 4906066032. Its totient is φ = 301086720.

The previous prime is 1241982713. The next prime is 1241982793. The reversal of 1241982720 is 272891421.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 112907515 + ... + 112907525.

It is an arithmetic number, because the mean of its divisors is an integer number (9734258).

Almost surely, 2^1241982720 is an apocalyptic number.

1241982720 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 1241982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453033016).

1241982720 is an abundant number, since it is smaller than the sum of its proper divisors (3664083312).

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

1241982720 is an frugal number, since it uses more digits than its factorization.

1241982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1241982720 is about 35241.7752106786. The cubic root of 1241982720 is about 1074.9093761716.

The spelling of 1241982720 in words is "one billion, two hundred forty-one million, nine hundred eighty-two thousand, seven hundred twenty".