1216829952 has 400 divisors, whose sum is σ = 4082858472. Its totient is φ = 358318080.

The previous prime is 1216829941. The next prime is 1216829981. The reversal of 1216829952 is 2599286121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 756470016 + 460359936 = 27504^2 + 21456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1216829898 and 1216829907.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19948002 + ... + 19948062.

Almost surely, 2^1216829952 is an apocalyptic number.

1216829952 is a gapful number since it is divisible by the number (12) 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 1216829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041429236).

1216829952 is an abundant number, since it is smaller than the sum of its proper divisors (2866028520).

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

1216829952 is an equidigital number, since it uses as much as digits as its factorization.

1216829952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 1216829952 is about 34883.0897714064. The cubic root of 1216829952 is about 1067.6034381757.

The spelling of 1216829952 in words is "one billion, two hundred sixteen million, eight hundred twenty-nine thousand, nine hundred fifty-two".