1241349120 has 528 divisors, whose sum is σ = 4904939520. Its totient is φ = 287539200.

The previous prime is 1241349119. The next prime is 1241349139. The reversal of 1241349120 is 219431421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15713241 + ... + 15713319.

Almost surely, 2^1241349120 is an apocalyptic number.

1241349120 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 1241349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452469760).

1241349120 is an abundant number, since it is smaller than the sum of its proper divisors (3663590400).

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

1241349120 is a wasteful number, since it uses less digits than its factorization.

1241349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1241349120 is about 35232.7847324051. The cubic root of 1241349120 is about 1074.7265560143.

The spelling of 1241349120 in words is "one billion, two hundred forty-one million, three hundred forty-nine thousand, one hundred twenty".