1211666480 has 120 divisors (see below), whose sum is σ = 3029679600. Its totient is φ = 449404416.

The previous prime is 1211666471. The next prime is 1211666501. The reversal of 1211666480 is 846661121.

It is a Cunningham number, because it is equal to 34809²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 1211666480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5291006 + ... + 5291234.

It is an arithmetic number, because the mean of its divisors is an integer number (25247330).

Almost surely, 2^1211666480 is an apocalyptic number.

1211666480 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 1211666480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514839800).

1211666480 is an abundant number, since it is smaller than the sum of its proper divisors (1818013120).

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

1211666480 is a wasteful number, since it uses less digits than its factorization.

1211666480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 1211666480 is about 34808.9999856359. Note that the first 4 decimals coincide. The cubic root of 1211666480 is about 1066.0912147811.

The spelling of 1211666480 in words is "one billion, two hundred eleven million, six hundred sixty-six thousand, four hundred eighty".