1241314000 has 40 divisors (see below), whose sum is σ = 3001502088. Its totient is φ = 496524800.

The previous prime is 1241313971. The next prime is 1241314003. The reversal of 1241314000 is 4131421.

It can be written as a sum of positive squares in 4 ways, for example, as 41938576 + 1199375424 = 6476^2 + 34632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241314003) 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 7 ways as a sum of consecutive naturals, for example, 308329 + ... + 312328.

Almost surely, 2^1241314000 is an apocalyptic number.

1241314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1241314000 is an abundant number, since it is smaller than the sum of its proper divisors (1760188088).

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

1241314000 is an equidigital number, since it uses as much as digits as its factorization.

1241314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620680 (or 620664 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1241314000 is about 35232.2863294450. The cubic root of 1241314000 is about 1074.7164206027.

Adding to 1241314000 its reverse (4131421), we get a palindrome (1245445421).

The spelling of 1241314000 in words is "one billion, two hundred forty-one million, three hundred fourteen thousand".