1211783328 has 480 divisors, whose sum is σ = 4390848000. Its totient is φ = 327172608.

The previous prime is 1211783323. The next prime is 1211783329. The reversal of 1211783328 is 8233871121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1211783292 and 1211783301.

It is not an unprimeable number, because it can be changed into a prime (1211783323) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 25782601 + ... + 25782647.

It is an arithmetic number, because the mean of its divisors is an integer number (9147600).

Almost surely, 2^1211783328 is an apocalyptic number.

1211783328 is a gapful number since it is divisible by the number (18) 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 1211783328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195424000).

1211783328 is an abundant number, since it is smaller than the sum of its proper divisors (3179064672).

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

1211783328 is an equidigital number, since it uses as much as digits as its factorization.

1211783328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 1211783328 is about 34810.6783616752. The cubic root of 1211783328 is about 1066.1254834582.

The spelling of 1211783328 in words is "one billion, two hundred eleven million, seven hundred eighty-three thousand, three hundred twenty-eight".