1211582898240 has 896 divisors, whose sum is σ = 4838390323200. Its totient is φ = 252468264960.

The previous prime is 1211582898187. The next prime is 1211582898247. The reversal of 1211582898240 is 428982851121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1211582898247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153886944 + ... + 153894816.

It is an arithmetic number, because the mean of its divisors is an integer number (5399989200).

Almost surely, 2^{1211582898240} is an apocalyptic number.

1211582898240 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 1211582898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419195161600).

1211582898240 is an abundant number, since it is smaller than the sum of its proper divisors (3626807424960).

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

1211582898240 is a wasteful number, since it uses less digits than its factorization.

1211582898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7995 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 51.

The spelling of 1211582898240 in words is "one trillion, two hundred eleven billion, five hundred eighty-two million, eight hundred ninety-eight thousand, two hundred forty".