1211304480 has 192 divisors, whose sum is σ = 3977890560. Its totient is φ = 309456896.

The previous prime is 1211304467. The next prime is 1211304481. The reversal of 1211304480 is 844031121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1211304480.

It is not an unprimeable number, because it can be changed into a prime (1211304481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2407909 + ... + 2408411.

It is an arithmetic number, because the mean of its divisors is an integer number (20718180).

Almost surely, 2^1211304480 is an apocalyptic number.

1211304480 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 1211304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988945280).

1211304480 is an abundant number, since it is smaller than the sum of its proper divisors (2766586080).

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

1211304480 is a wasteful number, since it uses less digits than its factorization.

1211304480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1211304480 is about 34803.7997925514. The cubic root of 1211304480 is about 1065.9850349960.

The spelling of 1211304480 in words is "one billion, two hundred eleven million, three hundred four thousand, four hundred eighty".