1241145000 has 120 divisors (see below), whose sum is σ = 4200600690. Its totient is φ = 330960000.

The previous prime is 1241144977. The next prime is 1241145007. The reversal of 1241145000 is 5411421.

It can be written as a sum of positive squares in 5 ways, for example, as 256064004 + 985080996 = 16002^2 + 31386^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1241145000² = 3080881822050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1241145007) 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 29 ways as a sum of consecutive naturals, for example, 31210 + ... + 58790.

Almost surely, 2^1241145000 is an apocalyptic number.

1241145000 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 1241145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100300345).

1241145000 is an abundant number, since it is smaller than the sum of its proper divisors (2959455690).

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

1241145000 is a wasteful number, since it uses less digits than its factorization.

1241145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27613 (or 27591 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1241145000 is about 35229.8878794696. The cubic root of 1241145000 is about 1074.6676455900.

Adding to 1241145000 its reverse (5411421), we get a palindrome (1246556421).

The spelling of 1241145000 in words is "one billion, two hundred forty-one million, one hundred forty-five thousand".