1211871360 has 256 divisors, whose sum is σ = 4535850240. Its totient is φ = 269402112.

The previous prime is 1211871347. The next prime is 1211871371. The reversal of 1211871360 is 631781121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496062 + ... + 498498.

It is an arithmetic number, because the mean of its divisors is an integer number (17718165).

Almost surely, 2^1211871360 is an apocalyptic number.

1211871360 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 1211871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267925120).

1211871360 is an abundant number, since it is smaller than the sum of its proper divisors (3323978880).

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

1211871360 is a wasteful number, since it uses less digits than its factorization.

1211871360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 1211871360 is about 34811.9427783053. The cubic root of 1211871360 is about 1066.1512996482.

The spelling of 1211871360 in words is "one billion, two hundred eleven million, eight hundred seventy-one thousand, three hundred sixty".